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ad-work [718]
3 years ago
10

Find the value of the variables in the simplest form

Mathematics
2 answers:
Papessa [141]3 years ago
6 0

Answer:

x = 15\sqrt{3} , y = 15

Step-by-step explanation:

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

sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{30} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 30\sqrt{3} ( divide both sides by 2 )

x = 15\sqrt{3}

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

cos60° = \frac{adjacent}{hypotenuse} = \frac{y}{30} = \frac{1}{2} ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

777dan777 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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