Question

Evaluate the sine of angle X for the right triangle below.

Answer 1

7/25

Explanation:

Just finished the lesson and checked the answer key :D

Answer 2

Answer: C

Explanation:

Sine is opposite/hypotenuse. Unfortunately, the hypotenuse is blank. Therefore, we need to solve for hypotenuse. We use Pythagorean Theorem to find hypotenuse.

Pythagorean Theorem: a²+b²=c²

7²+24²=c²

49+576=c²

625=c²

c=√625

c=25

Now that we have found the hypotenuse, we can find sine of x. Opposite of x is 7. Hypotenuse is 25. Therefore, sinx=7/25.