Question

In the previous problem, which of the following is m angle B to the nearest degree?

A. 30
B. 45
C. 55
D. 60

Answer 1

Measure of ∠B is 30°

Explanation:

Given the figure, we have to find the measure of angle B.

By trigonometric ratios formula,

`sin\theta=(Perpendicular)/(Hypotenuse)`

⇒
`sin\angle B=(AC)/(AB)=(8)/(16)`

⇒
`sin\angle B=(1)/(2)`

⇒
`\angle B=sin^(-1)((1)/(2))`

⇒
`\angle B=30^(\circ)`

Hence, measure of ∠B is 30°

Answer 2

A. 30

Explanation:

sin theta = opposite side / hypotenuse

sin B = 8/16

sin B = 1/2

Take the arcsin of each side

arcsin sin(B) = arcsin (1/2)

B = arcsin (1/2)

B = 30