Question

In the triangle in the picture, find the length of the side AC correct to the nearest centimetre.

Answer 1

AC ≈ 21.5 m

Explanation:

Using the Sine rule in Δ ABC

`(AC)/(sin64)` =
`(AB)/(sin53.33)` ( cross- multiply )

AC × sin53.33° = AB × sin64°, that is

AC × sin53.33° = 19.2 × sin64° ( divide both sides by sin53.33° )

AC =
`(19.2(sin64))/(sin53.33)` ≈ 21.5 m