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olga nikolaevna [1]
3 years ago
13

Find the value of x and the value of y.

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

Option A

Step-by-step explanation:

To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Now we take an angle measuring 60°

sin(60°) = \frac{6}{y}

\frac{\sqrt{3} }{2}=\frac{6}{y}

y = 4√3

tan(60°) = \frac{6}{x}

√3 = \frac{6}{x}

x = 2√3

Therefore, Option A will be the correct option.

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