Question

Use the law of sines to find the missing angle of the triangle find measure C to the nearest the nearest tenth

Answer 1

B

Explanation:

Using the law of sines then

`(162)/(sinC)` =
`(77)/(sin24)` ( cross- multiply )

77 × sinC = 162sin24° ( divide both sides by 77 )

sinC =
`(162sin24)/(77)`, hence

C =
`sin^(-1)` (
`(162sin24)/(77)` ) = 58.8° → B