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iVinArrow [24]
3 years ago
15

A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 89 feet from a building an

d 115 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.
Mathematics
1 answer:
Anna007 [38]3 years ago
8 0
The distance to the top of the building above the range finder can be found from the Pythagorean theorem.
.. d = √(115² -89²) ≈ 72.8 . . . . feet

Adding the height of the range finder, we find the height of the building to be
.. h = d+3 = 75.8 ft
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