A ladder long leans against a vertical wall

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

A ladder

7\,\text{m}

long leans against a vertical wall. If

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

, where

\theta

is the angle between the ladder and the ground, find the height (in metres) up the wall that the ladder reaches. (a)

4.2\,\text{m}

(b)

5.6\,\text{m}

(c)

2.8\,\text{m}

(d)

5.25\,\text{m}