Question

PLEASE HELP - Find the missing value. Show your work. Round to the nearest hundredth.

Answer 1

x = 29.2

Explanation:

Given

Perpendicuar=10

Angle=20 degrees

Hypotenuse=x

We will use the trigonometric ratios of right angled triangle to solve this question. Since, we have to find x which is the hypotenuse of the given triangle. So we will use the ratio which involves perpendicular and hypotenuse.

sin⁡ 20=Perpendicular/Hypotenuse

sin⁡ 20=10/x

x=10/sin ⁡20

x=10/0.3420

x=29.239

Rounding off to nearest tenth.

x=29.2