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A ladder 15 m long just reaches the top of a vertical wall. If the ladder
makes an angle of 60° with the wall, find the height of the wall.
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Answer:
Let AB is a wall and AC is the ladder 15 m long which makes an angle of 60° with the ground
Height and Distance mcq solution image
∴ In ∆ABC, ∠B = 90°
Let height of wall AB = h
Then
sinθ=ABAC⇒sin60∘=h15
⇒3–√2=h15⇒h=153–√2m
∴ Height of the wall =153–√2m
Answered by
1
Let AB is a wall and AC is the ladder 15 m long which makes an angle of 60° with the ground
Height and Distance mcq solution image
∴ In ∆ABC, ∠B = 90°
Let height of wall AB = h
Then
sinθ=ABAC⇒sin60∘=h15
⇒3–√2=h15⇒h=153–√2m
∴ Height of the wall =153–√2m
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