Question

Find the values of X and Y​

Answer 1

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