Question

TIMED PLEASE HELP What is the approximate degree measure of angle B in the triangle below? A. 16.3 B. 43.8 C. 46.2 D. 73.7

Answer 1

The answer is the option D

`73.7\°`

Explanation:

we know that

In the right triangle ABC of the figure

`sin(B)=(AC)/(BC)`

in this problem

`AC=24\ units` ------> opposite side angle B

`BC=25\ units` ------> the hypotenuse of the right triangle

substitute the values

`sin(B)=(24)/(25)`

`B=arcsin((24)/(25))=73.7\°`