Question 1049617: A line from the top of a cliff to the ground passes just over the top of a pole 9.0 feet high and meets the ground at a point 5.0 feet from the base of the pole. If the point is 84 feet from the base of the cliff, how high is the cliff?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A line from the top of a cliff to the ground passes just over the top of a pole 9.0 feet high and meets the ground at a point 5.0 feet from the base of the pole. If the point is 84 feet from the base of the cliff, how high is the cliff?
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Sketch the picture.
You should see two congruent right triangles with
The smaller triangle has height = 9 ; base = 5
The larger triangle has height = h ; base = 84
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Use a proportion:
h/84 = 9/5
h = 84*9/5
h = 151.2 ft.
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Cheers,
Stan H.
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