Question

6.

Find the value of x, rounded to the nearest degree.
7
15
1
tho
25°
28°
25°
62

Answer 1

28°

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

Explanation:

`\sin(x) = (7)/(15) \\ x = { \sin}^( - 1) ( (7)/(15) ) \\ x = 27.8 \degree`