Question

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2. Find the measure of angle B.

A) 15.78°
B) 16.32°
C) 15.04°
D) 16.78°

Answer 1

C. 15.04°

Explanation:

The best approach to this question is to use the Law of Sine:
`(a)/(sin(a)) =(b)/(sin(b)) =(c)/(sin(c))`

We are given ∠48°, 63 on the longest side and 22 on the adjacent side (opposite of ∠B). This means we just have to set up our equation (remember to set calc to deg!!):

`(63)/(sin48) = (22)/(sinB)`

We solve by cross multiplying:

63sin(B) = 22sin(48°)

sin(B) =
`(22sin48)/(63)`

B = sin^-1 (
`(22sin48)/(63)`)

Plug the B equation into the calculator and your final answer should be 15.041°, which rounds to 15.04°.