Question
Asked Sep 11, 2019
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A 35-foot ladder is leaning against the side of a building. If the ladder makes an angle of 24o 10' with the side of the building, how far is the bottom of the ladder from the base of the building? Round your answer to the hundredths place when necessary.

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Expert Answer

Step 1

Given:

A 35-foot ladder is leaning against the side of a building and it makes an angle of 24 degree and 10 minutes with the side of the building.

Let x be the distance between the bottom of the ladder and base of the building.

Sketch the given information as follows.

24°10
35ft
Building|
Ladder
х
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24°10 35ft Building| Ladder х

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Step 2

Convert 10 minutes into d...

1
It is known that 1'
degree
60
10
Then, 10'
60
=0.1667° (approxim ately)
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1 It is known that 1' degree 60 10 Then, 10' 60 =0.1667° (approxim ately)

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Tagged in

Math

Trigonometry

Trigonometric Ratios