Question

The following figure shows ABC with side lengths to the nearest tenth Find m

Answer 1

∠ C ≈ 77°

Explanation:

using the Sine rule in the triangle

`(19)/(sin30)` =
`(37)/(sinC)` ( cross- multiply )

19 × sin C = 37 × sin30° ( divide both sides by 19 )

sin C =
`(37sin30)/(19)` , then

∠ C =
`sin^(-1)` (
`(37sin30)/(19)` ) ≈ 77° ( to the nearest degree )