Solve the problem.
-On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is $35 \mathrm {~m}$ long and the shadow is $28 \mathrm {~m}$, how tall is the flag pole?
A) $21 \mathrm {~m}$
B) $49 \mathrm {~m}$
C) $63 \mathrm {~m}$
D) $45 \mathrm {~m}$

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, $a^2 + b^2 = c^2$, where $c$ is the hypotenuse (35 m), and $b$ is the shadow (28 m). Solving for $a$ (the height of the flagpole), $a^2 = 35^2 - 28^2$, which gives $a = 21 \mathrm {~m}$.

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