Question

Find the values of x and y. Write your answers in simplest form.

Answer 1

Answer:

x = 5√2

y = 15

Step-by-step explanation:

By applying sine rule in the given right triangle,

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

$\frac{\sqrt{3} }{2}=\frac{y}{10\sqrt{2}}$

y = $\frac{\sqrt{3} \times 10\sqrt{2} }{2}$

y = 15

Similarly, by applying cosine rule in the given triangle,

cos(60°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$\frac{1}{2}=\frac{x}{10\sqrt{2}}$

x = 5√2