Question

Use a calculator to approximate the measure of the acute angle A to the nearest tenth of a degree. sin A = 0.9659

a. 60.3 Degrees
b. 56 Degrees
c. 75 Degrees
d. 55.5 Degrees

Answer 1

OPTION C

Explanation:

There are 3 sides in a triangle. 2 of them are legs, and one of them is the Hypotenuse. "Sin" refers to Opposite/Hypotenuse.

To find A given a sine value, we must use inverse sin. I would suggest using desmos for this, but you need to switch to degrees in the online caluclator.

So the Equation is:
`sin^(-1) (0.9659)`

After plugging that into desmos, we get 74.994 degrees. Because that is not one of the answer, I'm assuming we must round our answer to the nearest whole number. In that case, your answer is 75 degrees, or OPTION C