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The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.The length of the ladder is: ​
Question

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.
The length of the ladder is: ​

A.

8 m

B.

323\sqrt{2} m​

C.

424\sqrt{2} m​

D.

9 m

Correct option is D

Given:

Angle of elevation = 60°

Distance of foot of ladder from wall = 4.5 m

Formula Used:

cos(θ)=basehypotenuse\cos(\theta) = \frac{\text{base}}{\text{hypotenuse}}​​

Solution: 

From the formula;

hypotenuse = 4.5cos(60)=4.50.5=9 m\frac{4.5}{\cos(60^\circ)} = \frac{4.5}{0.5} = 9 \text{ m}​​

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