Answer:
x = 10√3
y = 10
Step-by-step explanation:
Step 1:
x = r·cos(30°)
y = r·sin(30°)
Step 2:
x = 20·√3/2 = 10√3
y = 20·1/2 = 10
However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.
