Solve the problem.
-On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is 40 meters long and the shadow is 32 meters, how tall is the flag pole?
A) $24 \mathrm {~m}$
B) $51 \mathrm {~m}$
C) $72 \mathrm {~m}$
D) $64 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The height of the flagpole can be found using the Pythagorean theorem, $a^2 + b^2 = c^2$, where $c$ is the length of the hypotenuse (40 meters), and $b$ is the length of the shadow (32 meters). Solving for $a$ (the height of the flagpole), we get $a = \sqrt{c^2 - b^2} = \sqrt{40^2 - 32^2} = \sqrt{1600 - 1024} = \sqrt{576} = 24$ meters.

Solve the Problem 24 m24 \mathrm {~m}24 m B) 51 m51 \mathrm {~m}51 m C) 72 m72 \mathrm {~m}72 m

Solve the Problem $24 \mathrm {~m}$ B) $51 \mathrm {~m}$ C) $72 \mathrm {~m}$