ashtonkile98
ashtonkile98 ashtonkile98
  • 01-05-2020
  • Mathematics
contestada

Find the value of x. Round to the nearest degree
A. 37
B.53
C.0
D.39

Find the value of x Round to the nearest degree A 37 B53 C0 D39 class=

Respuesta :

absisawesomeT
absisawesomeT absisawesomeT
  • 01-05-2020

Answer:

x=53

Step-by-step explanation:

The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.

For angle x, the side measuring 12 is the opposite leg.

Our 3 items of interest are: angle, opposite leg, hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.

sin x = opp/hyp

sin x = 12/15

sin x = 0.8

Now we take the inverse sine of 0.8 to find the measure of the angle.

x = sin^(-1) 0.8 = 53 deg

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