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Kazeer [188]
3 years ago
15

A tree cast a 25-foot shadow. At the same time of the day, a 6-foot man standing near the tree casts 9-foot shadow. What is the

height of the tree, to the nearest foot?

Mathematics
2 answers:
bulgar [2K]3 years ago
6 0

Answer:

17 ft

Step-by-step explanation:

Neporo4naja [7]3 years ago
4 0

Answer:

The height of the tree is 16.67 feet.

Step-by-step explanation:

Refering the figure, let the height be "x" feet.

It is evident that triangles ABC and triangle EDC are similar.

(as both man and tree are perpendicular to the ground)

thus, \frac{AB}{DE} = \frac{BC}{DC} = \frac{AC}{EC}

hence,

\frac{x}{6} = \frac{25}{9}

Thus, x = (\frac{25}{9})(6) = \frac{50}{3} = 16.67 foot..

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liberstina [14]
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GREYUIT [131]

Answer:

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JUST HELP ME! PLEASE!!..0o0<br><br>Applying the Pythagorean theorem, solve this triangle.​
Inessa [10]
<h3>Answer:    <u>100 ft</u>  is the hypotenuse</h3>

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

Work Shown:

a = 60 and b = 80 are the two known sides

c  is the unknown hypotenuse

Applying the pythagorean theorem gets us...

a^2 + b^2 = c^2

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c = sqrt(10,000)

c = 100

A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.

Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.

4 0
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Answer:

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