A ladder 7 m long rests against a vertical wall and makes an angle of with the…

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

A ladder 7 m long rests against a vertical wall and makes an angle of 60∘60^{\circ} with the horizontal ground. (i) Find the vertical height on the wall that the ladder reaches. (ii) Determine the horizontal distance between the foot of the ladder and the wall. (iii) If the foot of the ladder is moved 1 m farther from the wall while its length remains the same, by how many metres does the point of contact on the wall descend?

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