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2. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a hill that is along a planned path of a road. She measures the angle of elevation to the top of the hill to be 5.7°. She knows that the horizontal distance to the top of the hill is 775 m. How high does the current road surface need to climb to reach the top of the hill?

2. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a hill that is along a planned path of a road. She measures the angle of elevation to the top of the hill to be 5.7°. She knows that the horizontal distance to the top of the hill is 775 m. How high does the current road surface need to climb to reach the top of the hill?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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12. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a hill that is along a planned path of a road. She measures the angle of elevation to the top of the hill to be 5.7°. She knows that the horizontal distance to the top of the hill is 775 m. How high does the current road surface need to climb to reach the top of the hill?
Transcribed Image Text:12. A surveyor uses a transit instrument that is 1.4 m off of the ground to measure the height of a hill that is along a planned path of a road. She measures the angle of elevation to the top of the hill to be 5.7°. She knows that the horizontal distance to the top of the hill is 775 m. How high does the current road surface need to climb to reach the top of the hill?
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