Question

Find the value of each variable 13-17

Answer 1

Explanation:

Question 13.

By applying cosine rule,

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

`(1)/(√(2) )=(10)/(y)`

y = 10√2

By applying sine rule,

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

`(1)/(√(2) )=(x)/(y)`

`(1)/(√(2) )=(x)/(10√(2) )`

x = 10

Question 15.

By applying sine rule,

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

`(√(3) )/(2)=(y)/(32)`

y = 16√3

By applying cosine rule,

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

`(1)/(2)=(x)/(32)`

x = 16

Question 17.

By applying sine rule,

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

`(√(3) )/(2)=(11√(3) )/(y)`

y = 22

By applying cosine rule,

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

`(1)/(2)=(x)/(y)`

`(1)/(2)=(x)/(22)`

x = 11