Question

Find value of x
Find value of y

Answer 1

x = 17.32 ,y = 10

Explanation:

Use ratio of cosine :-

• cos 30° = x/20
• √3/2 = x/20
• x = √3/2 * 20
• x = 10√3
• x = 10 * 1.732
• x = 17.32

Use ratio of sine :-

• sin 30° = y/20
• 1/2 = y/20
• y = 20 *1/2
• y = 10

Answer 2

x = 17.32

y = 10

Explanation:

USsing the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = y/20

y = 20sin30

y = 20(0.5)

y = 10

Using Pythagoras theorem to get the value of x

20^2 = x^2 + y^2

400 = x^2 + 10^2

400 - 100 = x^2

300 =x^2

x = √300

x = 17.32