Mathematics

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}

5.6\,\text{m}

2.8\,\text{m}

5.25\,\text{m}