Find the value of the variables in the simplest form

Question

asked Sep 21, 2022 38.4k views

2 Answers

Altaula · Answer 1 · 2022-09-22T17:21:19+0000

Answer:

x = 15
√(3) , y = 15

Explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° =
(√(3) )/(2) , cos60° =
(1)/(2) , then

sin60° =
(opposite)/(hypotenuse) =
(x)/(30) =
(√(3) )/(2) ( cross- multiply )

2x = 30
√(3) ( divide both sides by 2 )

x = 15
√(3)

---------------------------------------------------------

cos60° =
(adjacent)/(hypotenuse) =
(y)/(30) =
(1)/(2) ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15