Solve the right triangle. If two sides are given, give angles in degrees and minutes.
-On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 35 meters long and the tree is 28 meters tall, how long is the shadow?
A) $63 \mathrm {~m}$
B) $21 \mathrm {~m}$
C) $45 \mathrm {~m}$
D) $49 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The length of the shadow can be found using the Pythagorean theorem: $c^2 = a^2 + b^2$, where $c$ is the length of the hypotenuse (35 meters), and $a$ is the height of the tree (28 meters). Solving for $b$, the length of the shadow, we get $b = \sqrt{c^2 - a^2} = \sqrt{35^2 - 28^2} = \sqrt{1225 - 784} = \sqrt{441} = 21$ meters.

Solve the Right Triangle 63 m63 \mathrm {~m}63 m B) 21 m21 \mathrm {~m}21 m C) 45 m45 \mathrm {~m}45 m

Solve the Right Triangle $63 \mathrm {~m}$ B) $21 \mathrm {~m}$ C) $45 \mathrm {~m}$