Answer:
x = 7.41 (nearest hundredth)
y = 9.53 (nearest hundredth)
Step-by-step explanation:
<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
From inspection of the triangle:
= 39°- O = 6
- A = x
- H = y
To find x, use the tan <u>trigonometric ratio</u>:



Therefore, x = 7.41 (nearest hundredth)
To find y, use the <u>sin trigonometric ratio</u>:



Therefore, y = 9.53 (nearest hundredth)
Learn more about trigonometric ratios here:
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