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3 votes
Find the value of x. Round to the nearest degree.

Select one:
a. 53
b. 37
c. 49
d. 39

Find the value of x. Round to the nearest degree. Select one: a. 53 b. 37 c. 49 d-example-1
User Nanoquack
by
6.3k points

2 Answers

3 votes
The answer will be 53!
User Rody Davis
by
6.6k points
2 votes

Answer:

a. 53

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

User Ben Dilts
by
6.4k points
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