A 9.0 ladder rests against the side of a wall. The bottom of the ladder is 1.5 meters from the base of the wall. Determine the measurement of the angle between the ladder and the ground.

Question

Andreas Reynolds

Mathematics

22 May, 09:16

A 9.0 ladder rests against the side of a wall. The bottom of the ladder is 1.5 meters from the base of the wall. Determine the measurement of the angle between the ladder and the ground.

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Answers (1)

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Javion Hickman · Answer 1

Well we know that the 9.0 meter ladder is the hypotenuse And it is a right triangle with base of 1.5 meters. we have the adjacent and the hypotenuse. which is cosine. So:

cos (a) = adjacent/hypotenuse

cos (a) = 1.5/9.0

cos (a) = 1 / 6

a = cos^-1 (1 / 6)

a = 80.4 degrees