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A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:
Question

A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:

A.

7 m

B.

14

C.

7√3 m

D.

14√3 m

Correct option is A

Given:
Length of ladder (hypotenuse), L = 14 m
Angle with wall, θ = 60°
Height of wall (adjacent side) = H
Formula used:
cos θ = HL \frac {H}{L}​​
Solution:
cos 60° = H14 \frac {H}{14}​ 
=> 12 \frac {1}{2}​ = H14 \frac {H}{14}​​
=> H = 14 × 1/2
=> H = 7 m
Correct answer is (a) 7 m

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