Question

What’s the measure of the angle theta?

Answer 1

∅ = 50°

Explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

You need to use Law of Sines

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

Here you will be doing
`(a)/(sinA) =(c)/(sinC)`

a and c are the lengths, while A and C are the angles

`(3.46)/(sinA) = (2.54)/(sin43)` you want to get the denominators out from underneath so multiply both sides by sinA and sin43

`3.46sin43 = 2.54sinA`

Now you want to get sinA alone so divide both sides by 2.54

`(3.46sin43)/(2.54) = sinA` now get A alone

`sin^(-1) ((3.46sin43)/(2.54)) = A` put that into the calculator

`49.61741033 = A`