A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

25.9

Step-by-step explanation:

Answer 2

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Related Questions

graph the line with the slope 3 passing through the point (2,-1)​

Answers

Answer:

I can't draw at the moment but I'll try to teach how as best as I could.

Draw the Cartesian plane (x and y-axis)Locate the point (2, -1). To do this, go to x=2 then go down by 1 unit. Plot it or mark this point by a dot.Then from this dot, go 3 units to the right. After that, go up by 1 unit and mark that with a dot. By this time, you now have 2 dots.Connect them and that's it.

Which of the following options 70

Answers

uh maam u have to put the answers to find 70

Choose the explanation that shows why ΔADE is similar to ΔABC.

A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.

Answers

Hello,

First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.

Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.

Finally,

B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC

Sorry for that much information, but I think it’s useful. XD

rectangle j is 6 feet wide and 9 feet long rectangle K is 9 feet wide and 12 feet long are the rectangle similar explain

Answers

Answer:

NO, they are not similar.

Step-by-step explanation:

Width of rectangle J = 6 ft

Length of rectangle J = 9 ft

Width of rectangle K = 9 ft

Length of rectangle K = 12 ft

Find the ratio of their corresponding dimensions:

Ratio of their width = 6/9 = 2/3

Ratio of the length = 9/12 = 3/4

Their ratio of their corresponding dimensions are not equal. That is, their corresponding dimensions are not proportional to each other. Therefore, they are not similar.

Suppose that 11 inches of wire costs 33 cents. At the same rate, how many inches of wire can be bought for 18 cents?

Answers

Answer:6 inches

Step-by-step explanation:

11inch=33 cents

1 cent can buy 11/33= 1/3 inches

18 cents can buy 18 * 1/3 = 6 inches

Answer:

6in. = 18 cents

Step-by-step explanation:

1. Find out how many inches it costs for one inch ( 33/11 = 3)

2. divide 18 by 3 and get 6.

Michael buys some items at a grocery store.

Answers

Answer:

B

Step-by-step explanation:

It's b my correct answer is b

help as soon as possible

Answers

Answer:

x=20°

y=75°

Step-by-step explanation:

2y + 3x-10= 180 (angles on a straight line add to 180)

3x-10+5x+30=180 (corresponding angles on parallel lines are equal, angles on a straight line add to 180)

solve both equations and you get the answer :)

Find the slope of 8y-2x=10​

Answers

Answer:

1/4

Step-by-step explanation:

8y=+2x+10

Divide by 8

y=2/8x+10

Y=1/4x+10

y=mx+b

M= slope

For f (x) = 3x +1 and g(x) = x2 - 6, find (ff + g)(x).

Answers

Given:

The two functions are

[tex]f(x)=3x+1[/tex]

[tex]g(x)=x^2-6[/tex]

To find:

The function (f+g)(x).

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

Putting the values of given functions, we  get

[tex](f+g)(x)=3x+1+x^2-6[/tex]

[tex](f+g)(x)=x^2+3x+(1-6)[/tex]

[tex](f+g)(x)=x^2+3x-5[/tex]

Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].

This filling cabinet is 26.5 in long. 15 in wide, and 52 in tall. What is the volume and surface area of this 3D shape?

Answers

Volume = 20,670 inches cubed
Surface Area = 3915 inches squared

Find an equation for the line that passes through the points (5,-5) and (-1, 4)​

Answers

Answer:

y = mx + b, so

y = -0.53x + 1.5

Step-by-step explanation:

1. Find the slope of the line. In his case, then the slope is [tex]\frac{-6}{9}[/tex], which converts to 0.53

2. Start part of the equation. y = -0.53 x

3. Find the y-intercept of the line. In this case, it is 1.5

4. Now, you can finish your equation. y = -0.53x + 1.5

What is cot(ZB)?
Reduce fractional answers to lowest terms.
A
25
24
с 7

Answers

Answer:

cot∠B = 7/24

General Formulas and Concepts:

Math

Simplifying

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cotθ = 1/tanθ = adjacent over opposite

Step-by-step explanation:

Step 1: Define

Angle θ = ∠B

Adjacent Leg = 7

Opposite Leg = 24

Step 2: Find

Substitute in variables [cotangent]:                                                                 cot∠B = 7/24

y = -2x + 3
4x - 5y = 13

Answers

I’m sorry butt I don’t understand

Answer:

letters do not belong in math

Step-by-step explanation:

1=1-2=3

-8-(-13) simplified

Answers

The answer is 5.
-8 minus -13 = 5

Answer:

5

Step-by-step explanation:

-8-(-13)

you can cross out any 2 minuses, leaving you with

-8+13

and plus and minus make minus, so

13-8

leaves you with your answer, which is 5!

El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?​

Answers

Answer:

Profundidad 1= 15,5 metros

Profundidad 2= 15,5 metros

Frente 1= 7,5 metros

Frente 2= 7,5 metros

Step-by-step explanation:

Suma todo y da 46 metros que es la medida de la cerca.

resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.

:)

Sam mixes 8 cups of cereal, 4 cups of pretzels, and 3 cups of nuts to
make a snack mix. How many 1/3-cup servings can he sell at a bake
sale? Write the equations needed to solve the problem. Then solve.

Answers

Answer:

45 1/3 cups

Step-by-step explanation:

Let's solve your problem step by step.

It says that Sam has 8 cups of cereal, 4 cups of pretzels, an 3 cups of nuts.

Add all the amount of food together.

8 + 4 + 3 = 15 cups

That was the first equation. (Hint.)

The next equation is:

15 ÷ 1/3= 45

If L // M find the value of X. provide step by step explanation please

Answers

Answer:

x = 29°

Step-by-step explanation:

If line l is parallel to line m, therefore:

(180° - 130°) + 101° + x° = 180° (angles on a straight line)

50° + 101° + x° = 180°

151° + x° = 180°

x = 180° - 151° (substraction property of equality)

x = 29°

The regular price of a camera is $180.00. The camera is on sale for 25% off the regular price.
What is the sale price of the camera in dollars and cents?
Record your answer in the boxes below. Be sure to use the correct place value.

Answers

Answer:

$135

Step-by-step explanation:

180 decrease 25% =

180 × (1 - 25%) = 180 × (1 - 0.25) = 135

At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?

Answers

Answer:

At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?

I want to know only this question because I am not also so so I tell me

solve for m : -5m + 14 = 9

Answers

wdgsvwrshgsgcAnswer:

Step-by-step explanation:

sadgsd

M is nothing because -5-14 already equals 9 so it’s either you add the m to the nine or don’t worry about the m

Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true?

Answers

Answer:

A on Edge 2021 ;))

Step-by-step explanation:

All terms of the expansion are positive.

The true statement is all terms of the expansion are positive.

What are binomial expansions?

Binomial expansions are expansions of expressions that have two terms

The expression is given as:

[tex](a - b)^n[/tex]

This means that the expression (a - b) is to be multiplied by itself, n times.

Hence, all terms of the expansion are positive.

Read more about binomial expansions at:

https://brainly.com/question/11014243

d = 60ℎ + 20
car A is traveling from San Francisco. The distance in miles from San Francisco after H hours spent driving is described for the car below .

Answers

Answer:

22.78hr

Step-by-step explanation:

the car is moving so fast

An economics professor gave her class two tests. 25% of the class passed both tests, and 48% of the class passed the first test. What percent of those who passed the first test also passed the second test? (Round to four decimal places)

Answers

9514 1404 393

Answer:

  52.0833%

Step-by-step explanation:

The conditional probability formula applies.

  P(2|1) = P(2&1)/P(1)

  P(2|1) = 0.25/0.48 ≈ 0.520833

About 52.0833% of those who passed the first test also passed the second.

_____

Comment on wording

As a fraction rounded to 4 decimal places, the value would be 0.5208 or 52.08%. This seems to ask for the percentage to be rounded to 4 decimal places, so it is 52.0833%.

The table shows ordered pairs of the function y=8-2x. What is the value of y when x = 8?
х
-3
-1
1
4
8
10
y
14
10
6
0
?
-12

Answers

Answer:

-8

Step-by-step explanation:

for this, all you need to do is plug 8 into x for the equation y=8-2x

y=8-2(8)

y=8-16

y=-8

The value of y when x = 8 is,

⇒ y = - 8

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The table shows ordered pairs of the function as,

⇒ y = 8 - 2x

Now, At x = 8

The value of y is,

⇒ y = 8 - 2x

⇒ y = 8 - 2 × 8

⇒ y = 8 - 16

⇒ y = - 8

Thus, The value of y when x = 8 is,

⇒ y = - 8

Learn more about the function visit:

https://brainly.com/question/11624077

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What 28 over 3 as a mixed number

Answers

9 1/3

Mark me brainliest if this helps!
Have a good day
Divide 28 by 3 you will get 9
This is your outside number
You have one left so put it back in the fraction
9 and 1 over 3 is the answer

London's family took a road trip to the Grand Canyon. London fell asleep 61% of the way through the trip. If London fell asleep after they had travelled 305 miles, what was the total length of the trip?

Answers

Answer: 782.05 miles.

Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as [tex]\frac{61}{100}[/tex] or 0.61.

London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is [tex]\frac{100}{100}[/tex] or 1, so the relationship will be

0.39 ---- 305 miles

   1   ----- x

[tex]x=\frac{305}{0.39}[/tex]

x = 782.05

The total length of the trip was 782.05 miles.

Answer: 500

Step-by-step explanation:

Can someone answer this ASAP PLEASE!

Answers

y²+13y-6
---------------
(y-1)²(y+7)

5. A basketball team played a total of 154 games last season. The number of games won, W,
and the number of games lost, L, are represented by the equation W=154-L.
What quantity does the independent variable represent?
What quantity does the dependent variable represent?

Answers

Answer:

The team won 110 games and lost 44 games.

Step-by-step explanation:

Shen has to carry 316 apples from a farm to the market. How many baskets will he need, given that each basket can hold 43 apples?

Answers

Answer:

he will need 8 baskets or 7.3

Increase £19060 by 9%
Answer in 2DP

Answers

The answer would be 20,775,4
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