A ladder (13

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

Problem

A ladder

13\,\text{m}

long rests against a vertical wall. Its foot is placed

5\,\text{m}

away from the wall on level ground. Let

\theta

be the angle that the ladder makes with the ground. (a) Find, to the nearest metre, the height at which the ladder touches the wall. (b) Calculate

\sin \theta

\cos \theta

and

\tan \theta

. (c) Evaluate

\sin^2 \theta + \cos^2 \theta

and comment on the result.