A ladder long is leaning against a vertical wall and makes an acute angle with the…

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

Problem

A ladder

5\,\text{m}

long is leaning against a vertical wall and makes an acute angle

\theta

with the ground such that

\cos \theta = \dfrac{4}{5}

. (i) Find

\sin \theta

. (ii) How high up the wall does the ladder reach? (Give your answer in metres.)