Question

What is the value of C by using the law of sines and rounding the answer to one decimal place.

Answer 1

c ≈ 11.8

Explanation:

using the law of sines to find c

`(c)/(sinC)` =
`(b)/(sinB)`

where c is the side opposite ∠ C and b is the side opposite ∠ B

`(c)/(sin105)` =
`(7)/(sin35)` ( cross- multiply )

c × sin35° = 7 × sin105° ( divide both sides by sin35° )

c =
`(7sin105)/(sin35)` ≈ 11.8 ( to 1 decimal place )