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stealth61 [152]
3 years ago
15

GEOMETRY! The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point

A. What is the height of the tree? Show all your work, and make sure to include units in your final answer.

Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer: 24.99 ft

Step-by-step explanation:

1. You can find the angle A as following:

A=arctan(\frac{5}{8})\\A=32\°

2. Now, you can calculate the height of the tree as following:

tan(A)=\frac{opposite}{adjacent}

Where:

A=32°

opposite=x

adjacent=40

3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:

tan(A)=\frac{x}{40}\\x=40*tan(32\°)\\x=24.99

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Solve using the pathagorean theorem​
seropon [69]

Answer:

2 sqrt(13)

Step-by-step explanation:

We can find the hypotenuse using the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

4^2 + 6^2 = c^2

16+36 = c^2

52 = c^2

Taking the square root of each side

sqrt (52) = c

sqrt(4*13) = c

2 sqrt(13) = c

4 0
2 years ago
What is the square root of 9/16, 9 to the power of two
lbvjy [14]

Answer:

\frac{3}{4} , 9

Step-by-step explanation:

\sqrt{9/16} = \sqrt{9} ÷ \sqrt{16} = \frac{3}{4}

\sqrt{9^2} = \sqrt{81} = 9


3 0
3 years ago
a rectangular garden is fenced on alls ides with 256 feet fencing. the garden is 8 feet longer than it is wide
pickupchik [31]

The length and width of the rectangular garden is estimated as-

  • Length = 68 ft
  • width= 60 ft
<h3>How to calculate perimeter of the rectangle?</h3>

A rectangle's perimeter is the total length and distance of its border across all sides. The perimeter of a rectangular box is a linear measurement that is expressed in meters, feet, cm, or yards. Let us first examine the two primary characteristics of a rectangle.

  • A rectangle's four angles are all 90°.
  • A rectangle's opposite sides are of equal length.

The perimeter of the rectangle is given as-

Perimeter = 2(length + width)

perimeter= 256

Let the width of the rectangle be x.

Length is 8 feet longer than width, Thus,

length = x+8

Substitute the values in the formula of perimeter;

256 = 2( x+ 8+ x)

256 = 2( 2x + 8)

128= 2x + 8

120= 2x

x=60

Thus, width = 60 ft.

Length = 60 + 8 = 68 ft.

Therefore, the length and width of the rectangular garden is estimated.

To know more about the area of the rectangle, here

brainly.com/question/2607596

#SPJ4

The complete question is -

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.

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Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object.
snow_tiger [21]
B . side is a 8.5 inches long and side is 7 inches long
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20 PTS
Katen [24]

Answer:

it's ok to be in the picture right

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