Question

While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?

Answer 1

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet