Question

Find the value of each variable 13-17

Answer 1

Answer:

Step-by-step explanation:

Question 13.

By applying cosine rule,

cos(45°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

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

y = 10√2

By applying sine rule,

sin(45°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

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

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

x = 10

Question 15.

By applying sine rule,

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

$\frac{\sqrt{3} }{2}=\frac{y}{32}$

y = 16√3

By applying cosine rule,

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

$\frac{1}{2}=\frac{x}{32}$

x = 16

Question 17.

By applying sine rule,

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

$\frac{\sqrt{3} }{2}=\frac{11\sqrt{3} }{y}$

y = 22

By applying cosine rule,

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

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

$\frac{1}{2}=\frac{x}{22}$

x = 11