from the top of a tower 80m high, 2 boats are
seen in a direction due south. The angles of
depression of the boats from the top of the tower
are 30°and 45°respectively, find the distance
between the boat​

Answers

Answer 1

Step-by-step explanation:

Height of tower - 80m

Distance between foot of tower and boat 1 = x

Distance between boat 1 and boat 2 =y

Tan 45 = 1 = 80/x

x = 80

Tan 30 = 1 / root 3 = 80 / 80 + y

y = 80 root 3 + 80


Related Questions

Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?

Answers

2.75 packs

Step-by-step explanation:

11 packs ÷4 gardens =2.75 packs per garden

seventy-eight times n is at least 312. write your solution in interval notation

Answers

78n > 312
n > 312/78
n > 4

[4, infinity)

Use a closed bracket [ for 4 because I can equal exactly 4 when we plug in to get 312

Write as a single log:
2ln x + 2ln 4

Answers

Answer:

2ln 4x or ln (4x)²

Step-by-step explanation:

Use properties:

log a + log b = log abn log a = log aⁿ

Simplify:

2ln x + 2ln 4 = 2(ln x + ln 4) =2ln 4x = ln (4x)²

Each month the Dover family purchases 16 gallons of
milk. How many gallons of milk does the family
purchase in 12 weeks?

Answers

the dover family purchases 192 gallons of milk in 12 weeks
16*12=192

A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 49 choices of strap pad color. There are 2 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?

Answers

Answer:

1.238 * 10^13

Step-by-step explanation:

Number of sizes = 5

Color combination per size = 52

Panel option for each combination = 3

Binding color = 18 choices

Logo color = 26 choices

Liner color = 12 choices

Strap pad color = 49 choices

Interior style = 2 choices

Right or led handed = 2 choices

Chiller or not = 2 choices

Grab strap or not = 2 choices

Camera insert or not = 2 choices

Water bottle pocket or not = 2 choices

(5 x 52^3 * 18 * 26 * 12 * 49 * 2^6)

= 12381782999040

= 1.238 * 10^13 choices

someone know which company a or b has a greater percent per window???

Answers

Answer:

b

Step-by-step explanation:

rate of change in a 25

"" in b is 40

Express 13/3 as mixed fraction​

Answers

Answer:

4*1/3

Step-by-step explanation:

easy we know for each 3/3 == 1

so:

3*4 == 12

1/3 is left over so,

4*1/3

Answer:

the answer is 4 1/3, i recommend using the app mathaway

counting numbers greater than 110

Answers

Answer:

x>110; 111. 112 , 113, 114, 115, ...

Step-by-step explanation:

Please help with this question

Answers

Answer:

[tex]9\frac{6}{12}[/tex]

Step-by-step explanation:

[tex]6\frac{2}{6} \cdot 1\frac{1}{2} = \frac{38}{6} \cdot \frac{3}{2} = \frac{114}{12}=9\frac{1}{2}[/tex], which is also equal to [tex]9\frac{6}{12}[/tex].

Find an equivalent expression using the Distributive Property. 0.25(8r−4m)

Answers

Answer:

2r-m

Step-by-step explanation:

0.25(8r - 4m)= multiply the parentheses by o.25 then calculate 0.25x8r- 0.25x4m

at a party 136 handshakes took place. each person shook hands exactly once with each of the others present. how many people were at the party?

Answers

9514 1404 393

Answer:

  17

Step-by-step explanation:

The number of handshakes among n people is n(n -1)/2. Then ...

  n(n -1)/2 = 136

  n(n -1) = 272 = 17×16*

  n = 17

There were 17 people at the party.

_____

* This factoring can be facilitated by recognition that √272 ≈ 16.5, the number midway between the consecutive factors.

Answer this pleaseee

Answers

Answer:

do i need to answer them all

Step-by-step explanation:

graph the line that passes through the point (5,3) and (5,1) and determine the equation of the line

Answers

Answer:

Step-by-step explanation:

There is no change in x-coordinate. The line is parallel to y-axis.

Equation of line : x = 5

Which is smaller 7/8 or 3/4

Answers

Answer:

3/4

Step-by-step explanation:

3/4 is equal to 6/8, and 6/8 is smaller than 7/8

Answer:

7/8

Step-by-step explanation:

3/4 is equal to 6/8 wich is smaller than 7/8.

solve each proportion

Answers

Answer: x=8

Step-by-step explanation: 2x+5 /10 = 42 /20

(2x+5)(20)=(42)(10)

40x+100−100=420−100

40x /40 = 320 /40

x=8

Please only answer if you know the answer.

What does FOIL Stand for when multiplying polynomial.

Answers

Answer:

F=First

O=Outer

I=Inner

L=Last

Answer:

F = First,

O = Outer,

I = Inner,

L = Last

Step-by-step explanation:

A 42 inch Plasma TV first hit the market at a price of 1800. After the holidays it was reduced by 20% and finally the price was slashed another 25%. What was the final price of the TV?

Answers

9514 1404 393

Answer:

  1080

Step-by-step explanation:

The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...

  0.80(1 -25%) = 0.80×0.75 = 0.60

times the original.

The final price was ...

  1800 × 0.60 = 1080

What is the tan A?

No random answers pls

Answers

Answer:

I think its 3/4.

Step-by-step explanation:

It is 3/4 btw your welcome

help please 20 points

Answers

Answer:

48.3

Step-by-step explanation:

x is a positive integer.
33 + x is a positive integer.
Work out the four possible values of X,.

Answers

Answer:

Step-by-step explanation:

An integer is a number without decimal part i.e a whole number. Since x is a positive integer, it could be replaced by any positive integer. So that 33 + x would also be a positive integer.

Four possible values of x are:

i. Let x = 10, then;

33 + x = 33 + 10

          = 43

ii. Let x = 2, then;

33 + x = 33 + 2

          = 35

iii. Let x = 25, then;

33 + x = 33 + 25

          = 58

iv. Let x = 30, then;

33 + x = 33 + 30

          = 63

Hurry pls
10pts


Tell whether the slope of the line

Answers

Answer:  negative A.

Step-by-step explanation:

the slope of the line is going down so its negative. hope it helps!

describe how to obtain the graph of g from the graph of f(x) =
[tex] \sqrt{x} [/tex]


Answers

Problem 7

Consider the general template

g(x) = a*sqrt(x-h) + k

and compare it to the general parent function

f(x) = sqrt(x)

We have the following variables: a, h and k

They are defined as such:

a = handles the vertical stretch and if any reflections occur. If a > 0, then the curve goes upward; if a < 0, then the curve goes downward. Going from positive to negative, or vice versa, is a reflection over the x axis.h = handles the left and right shift. If h > 0, then you shift right. If h < 0, then you shift left.k = handles the up and down shifting. If k > 0, then you shift up. If k < 0, then you shift down.

For this problem, we have

a = 1h = -4k = 3

Since g(x) = sqrt(x+4)+3 is the same as g(x) = 1*sqrt(x - (-4)) + 3

With a = 1, we know that the curve moves upward. Compared to the parent graph y = sqrt(x), which also goes upward, no reflection has been done over the x axis.

The h = -4 means we shift 4 units to the left

The k = 3 means we shift 3 units up

Answer: Shift the parent function 4 units to the left and 3 units up

=====================================================

Problem 8

We'll use the ideas mentioned in problem 7. They'll also be used for problems 9 and 10 as well.

For problem 8, we have

a = 1h = -4 = shift 4 units to the leftk = -2 = shift 2 units downAnswer: Shift the parent function 4 units to the left and 2 units down.

=====================================================

Problem 9

This time we have

a = 1h = 4k = -3Answer: Shift the parent function 4 units to the right and 3 units down

=====================================================

Problem 10

So far, all of the 'a' values have been positive 1. This means that there hasn't been any reflection or vertical stretching going on.

This time we have a = -1 instead of a = 1.

So we will reflect over the x axis along with the shiftings similar to the ones that occurred with the previous problems.

Answer: Reflect the parent function over the x axis, shift 4 units to the right, and shift 2 units up

Triangle ABC is shown below.
What is the cosine of angle B?

Answers

I think it’s b ?bbbbb

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

A thrift store owner claims that 65% of the clothes in stock are brand new and have never been worn. To verify this claim, a shopper inspects 75 articles of clothing in the store. Only 45 (60%) of these articles are brand new. If 65% of all articles in this thrift shop really are brand new, what is the probability of obtaining an SRS of 75 articles of clothing in which 60% or less are brand new

Answers

Answer: B- 0.18. Because the probability is not very small, it is plausible that the 65% claim of the owner is correct.

Step-by-step explanation:

I WILL MARK BRINLIEST
Harbor Bike Shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?
a
22 bikes and 11 tricycles
b
20 bikes and 7 tricycles
c
26 bikes and 13 tricycles
d
22 bikes and 13 tricycles
e
11 bikes and 22 tricycles
f
24 bikes and 11 tricycles

Answers

Answer:

f

bicycle 24 x2= 48

tricycle 11 x3= 33

48+33=81

Step-by-step explanation:

Given the table below, answer the following questions (20 points):

Yes No
Girls 42 110
Boys 95 53

a. If b represents the event of selecting a response from a boy, find the complement of b [P(Ђ)].
b. Find the probability that the selected answer was no [P(no)].
c. If g represents the event of selecting a response from a girl, find the complement of g [P (ḡ)].
d. Find the probability that the selected answer was yes [P(yes)].

Answers

Answer:

Step-by-step explanation:

.CCCCCCCC

If g represents the event of selecting a response from a girl, find the complement of g [P (ḡ)].

Find slope of the line if it is defined through (5,10) and (5,-6)

Answers

Answer:

Undefined

Step-by-step explanation:

The slope is undefined as both points have the same x value.

Answer:

Undefined

Step-by-step explanation:

                        5 , 10

5 +0 = 5     <--  5 , -6     <-- 10 - 16 = -6

m = [tex]\frac{y}{x}[/tex]

m = [tex]\frac{-16}{0}[/tex]   <-- Doesn't sense. So the slope will be undefined

Explain how to find the mean of a data set

Answers

You have to add all the numbers together then divide by the amount of numbers. For example,
1. 3, 5, 8, 4
2. 3+5+8+4= 20
3. 20 divided by 4 = 5
4. The mean is 5

Answer:

First, add the numbers in the data set. Then, divide the sum by the number of numbers. The quotient is the mean.

 

I hope this helps!

At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?

1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.

Karen: y = x +
Alice: y = x +

2. What are the slopes of the lines represented by the equations?

3. What are the y-intercepts of the lines represented by the equations?

4. Do the lines intersect?

5. How many solutions are there to this system of equations?

math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?​

Answers

Answer:

(1)

Karen: [tex]y = 2x +3[/tex]

Alice: [tex]y = 2x +1[/tex]

(2): Slope is 2

(3) y intercept

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) They do not intersect

(5) No solution

(6) No

Step-by-step explanation:

Given

[tex]x = loaves[/tex]

[tex]y = amount[/tex]

Solving (1): Complete the equation.

For Karen:

[tex]m = 2[/tex] --- the rate

[tex]b = 3[/tex] --- additional spendings

For Alice:

[tex]m = 2[/tex] --- the rate

[tex]b = 1[/tex] --- additional spendings

The general equation is;

[tex]y = mx +b[/tex]

For Karen, it becomes

[tex]y = 2x +3[/tex]

For Alice, it is:

[tex]y = 2x +1[/tex]

(2): The slopes.

In (1), we have:

[tex]m = 2[/tex] --- the rate (for both Karen and Alice).

This rate implies the slope.

Hence, the slope is 2

(3): The y intercept.

The additional spendings in (1) means the y intercept.

So, we have:

[tex]b = 3[/tex] --- For Karen

[tex]b = 1[/tex] --- For Alice

(4) Because they have the same slope, they do not intersect

(5) Number of solutions.

[tex]y = 2x +3[/tex]

[tex]y = 2x +1[/tex]

Subtract both equations

[tex]y-y = 2x-2x +3-1[/tex]

[tex]0 = 2[/tex]

This means there is no solution

(6) Can they spend the same amount on the same number of loaves

In (5), the equations have no solution

Hence, it is not possible to spend the same amount for the same number of loaves

10 points
Howie planted a tree in his front yard three months, one week, and two days ago. If today is May 15th, what day did Howie plant the tree in his yard? A. February 6 B. February 15 C. August 15 D. August 24

Answers

Answer:

February 6th

Step-by-step explanation:

3 months before may 15 is February 15. Subtract 9 from 15 (1 week and 2 days) and you get 6 which leads you to your answer.

Answer:

FEB 16

Step-by-step explanation:

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