The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of the ladder is 42 ft from the base of the wall. How long is the ladder? Round your answer to the nearest whole number.

Question

Mathematics

Lilah Middleton

23 September, 05:38

The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of the ladder is 42 ft from the base of the wall. How long is the ladder? Round your answer to the nearest whole number.

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Answers (1)

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Brandon Bailey · Answer 1

You can use the cos Ф = base / hypotenuse.

In this case, you have h = 42/cos 35 (approx. 0.819)

h = 42/0.819 = 51.3

To the nearest whole number, the length of the ladder is 51 feet.