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

Question

asked May 22, 2021 156k views

1 Answer

Jacob Steinebronn · Answer 1 · 2021-05-28T01:49:05+0000

Answer:

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°.