From the top of a 16 m tall building, the angle of depression to a car on the road is 35°. To the nearest metre, how far is the car from the base of the building?

Answers

Answer 1

The distance of the car to the base of the building is 23 metres.

How to find the distance of the car from the building using angle of depression?

The situation will form a right angle triangle.

Therefore, the distance of the car to the base of the building is the adjacent side of the right angle triangle formed.

Therefore,

tan 35 = opposite / adjacent

tan 35 = 16 / x

x tan 35 = 16

x = 16 / tan 35

Therefore,

x = 16 / 0.70020753821

x = 22.8506141103

x = 23 meters

Therefore, the distance of the car to the base of the building is 23 metres.

learn more on angle of depression here: https://brainly.com/question/17960229

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Related Questions

Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit (y) on a graph. Which statements are correct?

Answers

Answer: B and E

Step-by-step explanation: Trust me, this is correct

The equation of the graph representing Jenna's profit is -

y = 2.75x

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Jenna's profit for selling 38 ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit (y) on a graph.

Assume that the equation of the graph representing Jenna's profit is -

y = mx + c

Then, it is a basic fact that with 0 sales, $0 profit will will be there. So, the line passes through (0, 0). Hence, the y - intercept [c] = 0. Then -

slope = [m] = (104.5)/38 = 2.75

So, the equation of line would be -

y = 2.75x

Therefore, the equation of the graph representing Jenna's profit is -

y = 2.75x

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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The weights of four puppies are shown in pounds

9.5 9
9.125 9 3/4


Which list shows these weights in order from greatest to least?

Answers

Answer:

Least to greatest would be the following: 9, 9.125, 9.5, 9 3/4

On which number line do the points represent negative seven and one over two and +1? (4 points)

Answers

Answer:

A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers.

Answer:A i did the test i got A correct

Step-by-step explanation:


Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?

Answers

Answer:

$1.98

Step-by-step explanation:

6%=0.06

33*0.06=1.98

Pls help middle school math!!

Answers

Answer:

r = √A/π      (radius = square root of a over pi)

Explanation:

There is a radius and a diameter. Diameter is the length of the whole circle across. The radius is half of the circle's length across, so half of the diameter.

hope this answers your question!

I NEED HELP ASAP ITS DUE RN

Answers

Answer:

x = 16

Step-by-step explanation:

30 points!!!! a class of 30 students the Ratio of the numbers of boys to girls 7:8
How many girls are there in the class?

Answers

Answer:

16 girls in the class

14 boys in the class

Step-by-step explanation:

Because of the ratio of 7:8, I added 7+8.

7+8= 15

30 (the number of students in the class) divided by 15 (the sum of the ratio)

30/15= 2

I then multiplied 8 from the "girls" part of the ratio by 2 (the quotient of 30/15) and got 16. Then I subtracted 16 from 30 and got 14, which s the number of boys in the class.

Hope this helps!

a bus travels for 24 minutes at 54m/s

Answers

Answer:

distance: 77760 meters

Step-by-step explanation:

24 min = 24*60 sec = 1440 sec

54m/s * 1440 s = 77760 m

Answer:

the bus went 77760 m/s in 24 minutes

Step-by-step explanation:

convert 24 minutes to seconds

24 min= 1440 seconds

54x1440= 77760

(i hope this is what you're asking)

I NEED THIS ASAP !!!!!!

Answers

Step-by-step explanation:

step 1. c = 14(pi) m = 43.96m

step 2. c = 2(pi)(3) = 6(pi) m = 18.84in

Need help in rush...someone pls help me! And pls show work

Answers

Answer:

7.2 or 7.20 my work is explained below!

first divide $3.00 by 5. our answer would be .6 (check: .6x5=3)

so now we know .6 is the cost of 1 ticket. so next, we would multiply .6 by 12 to get our answer. our answer would be 7.2 or 7.20.

I hope this helped, have a good day / night! :)

Answer:

[tex]\frac{5}{3}=1.66666666667 \\1.66666666667 * 6 = 10\\10 * 2 = 20[/tex]

Step-by-step explanation:

can someone solve please , ill give Brainly to whoever is first.

Answers

Answer:

1314 in²

Step-by-step explanation:

Let l be the length, w be the width and h be the height.

[tex]SA=2(lw+lh+wh)[/tex]

Plug in the given values

[tex]SA=2(17*5+17*26+5*26)\\SA=2(85+442+130)\\SA=2(657)\\SA=1314[/tex]

Therefore, the surface area of the shape is 1314 in².

I hope this helps!

HELP ME PLZ URGENT DUE TODAY
A town has a population of 5000 and grows at 3.5% every year. What will be the population after 15 years, to the nearest whole number?

Answers

Answer:

8377

Step-by-step explanation:

Growth rate is exponential, so it is determined by the formula (1+growth rate)^n where n is years

1.035^15 = 1.675...

multiply by 5000, you get 8376.744....

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room​

Answers

Answer:

Given :-

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

To Find :-

Length and breadth

Answer :-

Let the length and breadth be l + 2 and l

Now,

[tex] \large \sf \: Area = l + 2 \times l [/tex]

[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]

[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]

[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]

[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]

[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]

Either

[tex] \large \sf \: l = - 9[/tex]

or,

[tex] \large \sf \: l = 7[/tex]

Length can't be negative,

So,

L = 9

B = 7

Please mark as brainliest :)

7 x 1/6
Please help if you can

Answers

Answer:

7/6

Step-by-step explanation:

U just need to multiply 7 x 1/6 = 7/6 = 1.16

The congruence theorem that can be used to
prove ABAE = ACAD is
SSS.
O ASA.
SAS.
HL.
what is the answer?

Answers

Answer:

The answer is HL which is option D.

Step-by-step explanation:

Congruent shapes have equal corresponding sides and angles.

The congruence theorem that can be used to prove  is HL

[tex]\triangle BAE \cong \triangle CAD[/tex] means that, the triangles are congruent.

From the figure, we have the following congruent sides

AB and AC --- SideAE and AD --- SideBE and CE --- Side (Hypotenuse Leg)

The above highlights mean that the theorem can be used to prove that the triangles are congruent is HL.

This is so, because the hypotenuse of both triangles are equal.

Read more about congruent triangles at:

https://brainly.com/question/11329400

Reece tells Clay that when the area defined by Triangle DEF dries out, it becomes covered with native grasses and plants. What is the area of this section? Round intermediate results to 3 decimal places and the final answer to 1 decimal place.

Answers

Answer:

im trying to figure out give me like 3 minutes

Step-by-step explanation:

(need help fast)
Which of the following is an open statement?

A)

An angle that measures 95° is an obtuse angle.

B)

An angle that measures 95° is an acute angle.

C)

An angle that measures 40° is an acute angle.

D)

∠XYZ is an acute angle.

Answers

Answer:

D) is the right answer.

Hope it helps!

Thanks!

Answer:

I believe the correct answer is C) An angle that measures 40° is an acute angle. I'm not 100% sure if this is the correct answer.

Help me please which one do you think it is.

Answers

Answer: not sure

Step-by-step explanation:

But i thing its the 3rd one :P

A dairy facility has a bulk milk tank that is shaped like a right circular cylinder. The
tank has a height of 12 feet and a diameter of 216 inches.
If the milk tank was cut to be modeled by a truncated cylinder to of its height,
find the volume, in cubic feet, of the milk tank to the nearest hundredth.

Answers

Answer:

800

Step-by-step explanation:

Which one is it??????

Answers

Step-by-step explanation:

Down 10n

Is answer

hope it helps you to

Down 10 :)
Hope this helps, math is not my best subject but definitely not my worst

Simplify the expression 3.3 - 5.5n - 4n + 6 =

Answers

Answer:

Hello! have a good day!

−9.5n + 9.3

Answer:

Our answer would be 9.3-9.5n!

Step-by-step explanation:

My explanation is that:

Add : 3.3 and 6

-5.5n-4n+9.3

then subtract 4n from -5.5n

-9.5n+9.3 would be our answer!

brainliest to whoever can answer questions correctly ​

Answers

Answer:

Have you tried 5 x pi?

Good luck! Hope that helps!

HELP ASAP!!

drag each expression into the correct category according to its sum or product.

Answers

Answer:

Here are the answers. Hope this helps you!

Step-by-step explanation:

11/12*9/22 = rational         (as the solution is 33/88 which is in p/q form with                                    q not equal to 0 and p and q as integers.)

√5 *8 = 8√5 = irrational

3 + √17 = irrational                               (sum of a rational and irrational     number is always irrational)

√3*√12 = √36 = 6= rational number

π - 2π = -π = irrational                                   (since π is irrational)

-3/8 + 3/5 = -15+24/40 = 9/40 = rational

√6/2  - 1/2 = 1/2*√6 - 1 * 1/2 = 1/2 (√6 - 1) = irrational      (in this case difference is irrational and the product is clearly irrational as well).

Can someone please help with this math question??

Answers

Answer:

Hm im not sure but hold on, i think i found it. 1 and 76

Step-by-step explanation:

Can someone solve this equation for me?

[tex]f(x)=(1-0.08)^{(\frac{1}{52})^{12t}[/tex]

Answers

Answer:

$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .

Find the distance between the points.
(-1,-7) and (3, - 7)

Answers

The distance between (-1,-7) and (3,-7) is 4.
The distance is 4 because I used the distance formula

Please help.............:)

Answers

Answer:

easy lol

Step-by-step explanation:

add me on sñap my ID is: arshad2623f

please i just wanted to make friends cuz I'm alone BTW I'm 15yo

Answer:

What is y,t and z?

Step-by-step explanation:

All intergers are rational numbers? True or false

Answers

I'm pretty sure this is true

not all are integers because they are a bit different

Select the correct answer. Which two rational numbers does 24 lie between? СА. and 22 7 OB. 3.17 and 3.71 OC. v4 and v9 OD. 3.70 and 3.75 Reset​

Answers

Answer:

D. 3.70 and 3.75

is the answer

Step-by-step explanation:

#platolivesmatter

The two rational numbers that √14 lie between is 3.70 and 3.75.

What are the two rational numbers that √14 lie between ?

A rational number is a number that can be expressed as a fraction of two integers.

Examples of rational numbers are 4, 1/2 and 4.25.

The square root od √14 is 3.74.

To learn more about rational numbers, please check: https://brainly.com/question/20435423

Complete the table to find the rule for the translation, the coordinates of triangle A′B′C′, and the coordinates of the translated image, triangle A″B″C″.

Answers

the coordinates For the purple triangle A= -4,5  B= -2,1  C=-5,2

Step-by-step explanation:

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