A climber who needs to estimate...

Question

A climber who needs to estimate the height of a cliff stands at a point on the ground L = 60 feet from the base of the cliff and estimates that the angle F from the ground to a line extending from the climber's feet to the top of the cliff is 50°. Assuming that the cliff is perpendicular to the ground, find the approximate height of the cliff. (Round your answer to one decimal place.)

Answer 1

So assuming I am reading this question properly you are 60ft from the bottom of the hill and the angle from where you are looking to the top of the hill is 50°, you are looking for the height of the mountain with the angle between the height and lefty from you to the mountain being a right angle. Knowing this we have the angle, the adjacent side and we want the opposite side of the angle, this means we need the tangent function: tan=opp/adj.

Tan(50°)=h/60, 60tan(50°)=h=71.5ft