High School

If [tex] \sin \theta = \frac{3}{5} [/tex], what is the measure of the angle?

A. 53.1º

B. 36.9º

C. 30.1º

D. 59º

Answer :

Then the answer is b

Answer:

We can use inverse sine (or arcsine) function to find the measure of the angle, since:

sin(theta) = opposite/hypotenuse

In this case, sin(theta) = 3/5, which means that if we draw a right triangle with one angle equal to theta, and the opposite side of length 3, and the hypotenuse of length 5, then the sine of that angle will be 3/5.

Using inverse sine function, we get:

theta = arcsin(3/5) = 36.9º

Therefore, the measure of the angle is b. 36.9º

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