Question

I need help. Find the value of each variable.

Answer 1

Answer:

x = 14√3

y = 7√3

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(60°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{\sqrt{3} }{2}=\frac{21}{x}$

x = $\frac{42}{\sqrt{3}}$

x = 14√3

By applying cosine rule in the given triangle,

cos(30°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$\frac{1}{2}=\frac{y}{x}$

$\frac{1}{2}=\frac{y}{14\sqrt{3}}$

y = 7√3