Question

To the nearest degree, find the measure of angle B.

Answer 1

Measure of angle B is 70°.

Explanation:

From the given right triangle ABC,

Sin B =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

=
`(AC)/(AB)`

=
`(4.8)/(5.1)`

B =
`\text{Sin}^(-1)((48)/(51) )`

=
`\text{Sin}^(-1)(0.94118 )`

= 70.25

m∠B ≈ 70° [Nearest degree]

Therefor, measure of angle B is 70°.