SOLUTION: From the top of a hill, the angle of depression to a house is measured to be 17o. If the hill is 40 feet tall, how far away is the house from the base of the hill? Round your

Algebra ->  Trigonometry-basics -> SOLUTION: From the top of a hill, the angle of depression to a house is measured to be 17o. If the hill is 40 feet tall, how far away is the house from the base of the hill? Round your      Log On


   



Question 1120574: From the top of a hill, the angle of depression to a house is measured to be 17o. If the hill is 40 feet tall, how far away is the house from the base of the hill?
Round your answer to two decimal places.

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
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There is no sufficient data in the post to answer the question.


Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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From the top of a hill, the angle of depression to a house is measured to be 17o. If the hill is 40 feet tall, how far away is the house from the base of the hill?
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Angle of elevation from house to top of hill, also 17 degrees. Base of the hill is where angle of 90 degrees is.

40%2Fx=tan%2817%29

x%2F40=1%2Ftan%2817%29

x=40%2Ftan%2817%29

x=130.83%2Afeet