A ladder is placed along a wall of a house such that its upper end is touching the top of the wall. The foot of the ladder is 2 m away from the wall and the ladder is making an angle of 60° with the level of the ground. Determine the height of the wall.
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Answer:
The height of the wall is 2√3 m.
Step-by-step explanation:
GIVEN :
Distance between the foot of the ladder and wall , BC = 2 m
Angle of elevation , ∠BCA (θ) = 60°
Let AB = 'h' m be the height of the wall.
In right angle triangle, ∆ABC ,
tan θ = P/ B
tan 60° = AB/BC
√3 = h/2
h = 2 × √3
AB = 2√3 m
Hence , the height of the wall is 2√3 m.
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