Question

Please help

1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the

viewing platform as 37º. How far up the tower is the viewing platform?

Answer 1

41.4feet

Explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform