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Answer to Question #96006 in Trigonometry for Sayem
Question #96006
1. An autobike begins to on a level road directly toward a building that is 150 feet tall. How far does the
car travel during the time that the angle of elevation from the autobike to the top of the building changes from 27° to 36°
car travel during the time that the angle of elevation from the autobike to the top of the building changes from 27° to 36°
Expert's answer
"d=150cot27^o-150cot36^o=150(1.963-1.376)=88 m."
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Comments
A cotangent of the angle is a ratio of lengths of adjacent side to the opposite side. The length of the opposite side is 150 feet. One computes the difference of lengths of adjacent sides when two angles of elevation from the autobike to the top of the building are considered.
Please explain why the trigonometry cot is taken
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