Question

Mount Royal is at the center of Montreal, Canada. No building is in Montreal can be taller than this mountain to ensure that the view from the top of the mountain is not obstructed. Suppose you are standing at the peak of Mount Royal, looking at the horizon. The angle of depression is a = 0.5°. How far are you from the horizon?

The radius of Earth r is 3963.2 miles. Give your final answer in miles, rounded to the nearest tenth.

Answer 1

34.6 miles

Explanation:

Radius is the hypotenuse

Distance is the perpendicular

sin(0.5) = distance/radius

sin(0.5) = distance/3963.2

Distance = 34.58500549 miles