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? Found 2 solutions by mananth, ikleyn:Answer by mananth(16949) (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
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?
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The solution in the post by @mananth is fatally wrong.
I came to bring a correct solution.
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 * 0.26794919243
267.95 meters is the height (rounded). ANSWER
