8. A hiker wants to estimate the height of a mountain before attempting a climb to the top. Her first measurement shows an angle of elevation to the top of the mountain as 63.4°. Her second measurement, taken 950 ft closer to the base of the mountain, yields an angle of elevation of 75.3°. From these measurements, estimate the height of the mountain. Round to the nearest hundred feet.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter11: Addition And Subtraction Of Decimal Fractions
Section: Chapter Questions
Problem 11A
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8. A hiker wants to estimate the height of a mountain
before attempting a climb to the top. Her first
measurement shows an angle of elevation to the top of
the mountain as 63.4°. Her second measurement, taken
950 ft closer to the base of the mountain, yields an
angle of elevation of 75.3°. From these measurements,
estimate the height of the mountain. Round to the
nearest hundred feet.
Transcribed Image Text:8. A hiker wants to estimate the height of a mountain before attempting a climb to the top. Her first measurement shows an angle of elevation to the top of the mountain as 63.4°. Her second measurement, taken 950 ft closer to the base of the mountain, yields an angle of elevation of 75.3°. From these measurements, estimate the height of the mountain. Round to the nearest hundred feet.
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