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Question
The distance between two buildings is 140 feet. You are standing on the roof of the taller building. You measure the angle of depression of the top and bottom of the shorter building. The angles are 35.9 and 71.1, respectively. Find the height of the taller building.
Find the height of the shorter building.
90 - 35.9 = 54.1
tan(54.1) = x/140
x = 140tan(54.1)
x = about 193.4
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90 - 71.1 = 18.9
tan(18.9) = y/140
y = 140tan(18.9)
y = about 47.9
so to find the height of the smaller building
140tan(54.1) - 140tan(18.9) = 140(tan(54.1) - tan(18.9)) = about 145.4697
ANS :
Taller = 193ft
Smaller = 145ft
so it all depends on how your rounding it.
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| Comment | Thank you so much i've been trying to answer this question for 2 days. I didn't know how to set it up or what degrees to use with tan. | ||
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Sherman D.
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