Question

6.

Answer 1

Answer:

28°

Step-by-step explanation:

For this problem, we are given the leg length opposite the angle x and the hypotenuse. This perfectly describes the trig function, sine. We can set up an equation:

opposite / hypotenuse = sin(x°)

We can substitute in the sides:

7 / 15 = sin(x°)

Now, to find x, we can evaluate the inverse of sin or arcsin on the ratio 7 / 15

arcsin(7 / 15) = x° = 27.81813928°

This rounds to 28°

Answer 2

Step-by-step explanation:

$\sin(x) = \frac{7}{15} \\ x = { \sin}^{ - 1} ( \frac{7}{15} ) \\ x = 27.8 \degree$