Question

What’s the measure of the angle theta?

Answer 1

Answer:

∅ = 50°

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

You need to use Law of Sines

$\frac{a}{sinA} =\frac{b}{sinB} = \frac{c}{sinC}$

Here you will be doing $\frac{a}{sinA} =\frac{c}{sinC}$

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

$\frac{3.46}{sinA} = \frac{2.54}{sin43}$ 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

$\frac{3.46sin43}{2.54} = sinA$ now get A alone

$sin^{-1} (\frac{3.46sin43}{2.54}) = A$ put that into the calculator

$49.61741033 = A$