Solve the problem.
-On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 meters long and the tree is 40 meters tall, how long is the shadow?
A) $100 \mathrm {~m}$
B) $90 \mathrm {~m}$
C) $64 \mathrm {~m}$
D) $30 \mathrm {~m}$

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, $a^2 + b^2 = c^2$, where $a$ is the height of the tree (40 m), $b$ is the length of the shadow, and $c$ is the hypotenuse (50 m). Solving for $b$, we get $b = \sqrt{c^2 - a^2} = \sqrt{50^2 - 40^2} = \sqrt{2500 - 1600} = \sqrt{900} = 30 \mathrm {~m}$.

Solve the Problem 100 m100 \mathrm {~m}100 m B) 90 m90 \mathrm {~m}90 m C) 64 m64 \mathrm {~m}64 m

Solve the Problem $100 \mathrm {~m}$ B) $90 \mathrm {~m}$ C) $64 \mathrm {~m}$