WAEC 2022 · Paper 1 · Q23

A ladder $6\text{ m}$ long leans against a vertical wall at an angle of $53^\circ$ to the horizontal. How high up the wall does the ladder reach?

Worked solution (try it first)

The ladder (6 m) is the hypotenuse, and the height up the wall is opposite the $53^\circ$ angle at the ground.
So the height is $6\sin53^\circ = 6 \times 0.7986$
$\approx 4.792$ m, option C.