Question

#1. What is the angle of elevation to the lighthouse? Round to the nearestdegree.

Answer 1

Since the situation forms a right angle we can apply trigonometric functions:

Sin a = opposite side / hypotenuse

Where:

a = angle = x

opposite side = 168

hypotenuse = 360

Replacing:

Sin x = 168/360

Solve for x

x = Arc sin (168/360)

x = 27.81 = 28 °