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3 years ago

Find the values of X and Y

Mathematics

1 answer:

julsineya [31]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Using the exact values of the trigonometric ratios

sin30° = $\frac{1}{2}$ , cos30° = $\frac{\sqrt{3} }{2}$

Then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{17}{y}$ = $\frac{1}{2}$

Cross- multiply

y = 2 × 17 = 34

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{y}$ = $\frac{x}{34}$ and

$\frac{x}{34}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 34 $\sqrt{3}$ ( divide both sides by 2 )

x = 17 $\sqrt{3}$

Hence

x = 17 $\sqrt{3}$ and y = 34

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3 years ago

Find the values of X and Y​

Find the values of X and Y