The angle of elevation of a ladder leaning against a wall is 60⺠and the foot of the ladder is 4.6 m away from the wall. the length of the ladder is: . 2.3 mb. 4.6 mc. 7.8 md. 9.2 m

9.2m

Explanation: According to SOH CAH TOA

Cos 60° = Adjacent/Hypotenuse (CAH)

Given theta = 60° which is the elevation angle

Adjacent side which is the base of the set up (distance from the ladder to the wall) is 4.6m

Cos60° = Adjacent/Hypotenuse

Cos 60° = 4.6/Hypotenuse

Hypotenuse = 4.6/cos60°

Hypotenuse = 9.2m

The hypotenuse always the slanting and longest side of the set up which is the ladder according to the question.

a

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