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What’s the measure of the angle theta?

What’s the measure of the angle theta?-example-1

1 Answer

7 votes

Answer:

∅ = 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

User Martin Davies
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