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A 9 foot ladder liens against the side of a house how far is the bottom of the ladder from the side of the house when the angle of elevation of the latter is 75°

A 9 foot ladder liens against the side of a house how far is the bottom of the ladder-example-1
User Catalin Enache
by
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1 Answer

24 votes
24 votes

Answer: 2.3

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Work Shown:

cos(angle) = adjacent/hypotenuse

cos(75) = x/9

x = 9*cos(75)

x = 2.32937140592269

x = 2.3

The bottom of the ladder is about 2.3 feet from the bottom of the house.

User Rabin Utam
by
3.3k points