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sweet [91]
2 years ago
10

Please find x and y!!!!!! URGENT! Bots taken down

Mathematics
1 answer:
Julli [10]2 years ago
4 0

Answer:

x = 11, y = 22

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{11\sqrt{3} }{x} = \sqrt{3} ( multiply both sides by x )

11\sqrt{3}  = x × \sqrt{3} ( divide both sides by \sqrt{3} )

11 = x

Using Pythagoras' identity in the right triangle

y² = x² + (11\sqrt{3} )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )

y = \sqrt{484} = 22

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