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

Sin(B) =24/25 
B = arcsin(24/25)
B = 73.7

Answer 2

Answer:

The answer is the option D

$73.7\°$

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

$sin(B)=\frac{AC}{BC}$

in this problem

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

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

substitute the values

$sin(B)=\frac{24}{25}$

$B=arcsin(\frac{24}{25})=73.7\°$