Question

A mouse spots an owl flying 10.1 feet over a nearby bush. The mouse is 30 feet away from the bush, and it sees the owl at a certain angle of elevation. Which trigonometric equation can be used to solve for x, the angle of elevation from the mouse to the owl?

Answer 1

Answer:

Explanation:

Given

fly is at height of $h=10.1\ ft$

mouse is at a distance of 30 ft from bush

if $\theta$  is the angle of elevation then

using trigonometric relation

$\tan \theta =\frac{h}{x}$

$\tan \theta =\frac{10.1}{30}$

$\theta =tan^{-1}(\frac{10.1}{30})$

$\theta =18.57^{\circ}$