Question

The diagram shows a field ABC.

AC = 240 m

Use the sine rule to calculate AB.

Answer 1

AB ≈ 312.1 m

Explanation:

Using the Sine rule in the triangle, then

`(AB)/(sin85)` =
`(240)/(sin50)` ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB =
`(240sin85)/(sin50)` ≈ 312.1 m ( to 1 dec. place )