Geometry Part 2
posted by Karen on .
A highway makes an angle of 6 with the horizontal.This angle is maintained for a horizontal distance of 5 miles.To the nearest hundredth of a mile, how high does the highway rise in this 5 mile section?Show the steps you use to find the distance.

Draw a diagram
tan 6° = d/5
d = 0.53 mi 
Using

A forest ranger spots a fire from a 28foot tower. The angle of depression from the tower to the fire is 11 .
To the nearest foot, how far is the fire from the base of the tower? Show the steps you use to find the solution.