Question

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

Answer 1

Answer:

A. 30

Step-by-step 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

Answer 2

Answer:

Measure of ∠B is 30°

Step-by-step explanation:

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

By trigonometric ratios formula,

$sin\theta=\frac{Perpendicular}{Hypotenuse}$

⇒ $sin\angle B=\frac{AC}{AB}=\frac{8}{16}$

⇒ $sin\angle B=\frac{1}{2}$

⇒ $\angle B=sin^{-1}(\frac{1}{2})$

⇒ $\angle B=30^{\circ}$

Hence, measure of ∠B is 30°