SOLUTION: A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff?

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Question 272686: A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff?
Angle of depression = 15 degrees
The sides containing the right angle
One side is the distance and the other side is the height
Tan 15 = height / distance from cliff
tan 15 = height / 1000
Height = 1000 * tan 15
= 1000 * 0.8559
855.9 meters is the height