Question

Please help I’ll give brainliest ASAP

Answer 1

Answer:

x = 10, theta = 30 degrees

Step-by-step explanation:

i. 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

10 = x

ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.

You could also solve it with the law of sines:

sin(90)/12 = sin(x)/6

Multiply each side by 6

6 * sin(90)/12 = sin(x)

0.5 = sin(x)

x = 30 degrees