Question

A hiker stops to rest and sees a deer in the distance. If the hiker is 48 yards lower than the deer and the angle of elevation from the hiker to the deer is 15°, find the distance from the hiker to the deer.

Answer 1

According to the attached graph, we can see that the hypotenuse is the variable to find. We have the Angle and the height therefore through the Sin
`\theta` we can identify the distance of the slope, that is to say

`sin\theta = (AB)/(AC)`

`sin(15)=(48)/(AC)`

`AC = sin(15)(48)`

`AC = 185.5Yards`