Question

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Answer 1

length of ladder ≈ 30.6 ft

Explanation:

the model of the situation is a right triangle

with the hypotenuse being the length (l) of the ladder , then

sin62° =
`(opposite)/(hypotenuse)` =
`(27)/(l)` ( cross- multiply )

l × sin62° = 27 ( divide both sides by sin62° )

l =
`(27)/(sin62)` ≈ 30.6 ( to the nearest tenth )

the ladder is 30.6 feet in length