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goldfiish [28.3K]
3 years ago
7

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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