A ladder 10 m long rests against a vertical wall

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

A ladder 10 m long rests against a vertical wall. It makes an acute angle θ\theta with the horizontal ground such that sin⁡θ=0.6\sin\theta = 0.6. (i) Determine cos⁡θ\cos\theta. (ii) Find the distance of the foot of the ladder from the wall. (iii) Verify that the height reached by the ladder on the wall is consistent with the given value of sin⁡θ\sin\theta.

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