Question

PLS HELP ASAP:Find all the missing elements:

Answer 1

b ≈ 9.5, c ≈ 14.7

Explanation:

Using the Sine rule in Δ ABC, that is

`(a)/(sinA)` =
`(b)/(sinB)` , substitute values

`(7)/(sin23)` =
`(b)/(sin32)` ( cross- multiply )

b × sin23° = 7 × sin32° ( divide both sides by sin23° )

b =
`(7sin32)/(sin23)` ≈ 9.5 ( to the nearest tenth )

Also

`(a)/(sinA)` =
`(c)/(sinC)`

`(7)/(sin23)` =
`(c)/(sin125)` ( cross- multiply )

c × sin23° = 7 × sin125° ( divide both sides by sin23° )

c =
`(7sin125)/(sin23)` ≈ 14.7 ( to the nearest tenth )