Question

Find the value of x and the value of y.

Answer 1

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.