Answer:
x = 9.85
Explanation:
Because this is a right triangle, we can use one of the trigonometric ratios to find the measure of x.
We see that if we allow the 20° to be our reference angle, the x side is the adjacent side and the 10 cm side is the hypotenuse. Thus, we can use the cosine ratio, which is
cos (θ) = adjacent/hypotenuse, where
- θ represents the reference angle.
Step 1: We can plug in 20 for θ and 10 for the hypotenuse. This will allow to solve for x:
cos(20) = x/10
10 * cos(20) = x
9.84807753 = x
9.85 = x
Thus, the measure of x is about 9.85 cm.