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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

TIMED PLEASE HELP What is the approximate degree measure of angle B in the triangle below A 163 B 438 C 462 D 737 class=

Respuesta :

sim60
sin(B) =24/25 
B = arcsin(24/25)
B = 73.7
calculista

Answer:

The answer is the option D

[tex]73.7\°[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

[tex]sin(B)=\frac{AC}{BC}[/tex]

in this problem

[tex]AC=24\ units[/tex] ------> opposite side angle B

[tex]BC=25\ units[/tex] ------> the hypotenuse of the right triangle

substitute the values

[tex]sin(B)=\frac{24}{25}[/tex]

[tex]B=arcsin(\frac{24}{25})=73.7\°[/tex]

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