Question

1 point

11
y
Find x and y.
DO
30°
x=11√2 y = 22
x = 22 y=11√/3
x = √√√3 y = 11

Answer 1

x = 22, y = 11√3

Explanation:

Here,

x is the Hypotenuse side

y is the adjacent side.

11 is the opposite side.

Formula : -

sin θ = Opposite side / Hypotenuse side

Here,

θ = 30

Note : -

The value of sin 30 = 1 / 2

1 / 2 = 11 / x

Cross multiply,

x * 1 = 2 * 11

x = 22

By Pythagoras theorem,

11² + y² = x²

11² + y² = 22²

y² = 22² - 11²

22² = 11² x 2²

11² = 11² x 1²

y² = 11² ( 2² - 1 )

y² = 11² x ( 4 - 1 )

y² = 11² x 3

Square root on both sides,

y = 11√3