A ladder rests against a vertical wall forming a right-angled triangle with the ground

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

Problem

A ladder rests against a vertical wall forming a right-angled triangle with the ground. The foot of the ladder is 2.5 m away from the wall and the ladder makes an angle of 60° with the horizontal ground. (i) Calculate the height at which the ladder touches the wall. (ii) The ladder is 5 m long. Verify by calculation whether the given information is consistent. Show all working.

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