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

Step-by-step 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 =(h)/(x)`

`\tan \theta =(10.1)/(30)`

`\theta =tan^(-1)((10.1)/(30))`

`\theta =18.57^(\circ)`