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3 years ago

7

A man is trying to calculate the shadow of a 24 flag pole. He uses similar triangles by comparing his own height 5 ft to the len

gth of his shadow 2.5. Set up the proportion and solve for the length of the pole's shadow.

1 answer:

Pie3 years ago

8 0

Answer:

The answer to your question is 12 ft

Step-by-step explanation:

Data

Height of the flag pole = 24

shadow of the flag pole = x

height of the man = 5 ft

shadow of the man = 2.5 ft

Process

1.- Use the Thales' theorem to solve this problem

shadow of the flag pole/height of the flag pole = shadow of the man/height

of the man

- Substitution

x/24 = 2.5/5

- Solve for x

x = 2.5(24)/5

- Simplification

x = 60/5

-Result

x = 12 ft

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Answer:

Part 1) The exact solutions are

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Step-by-step explanation:

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When solving the system of equations by graphing, the solution of the system is the intersection points both graphs

<em>Find the exact solutions of the system</em>

equate equation A and equation B

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For $x_2=\frac{-1-\sqrt{21}} {2}$

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Round to the nearest hundredth

<em>First solution </em>

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see the attached figure to better understand the problem

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