Question

Special right triangles, find x and y

Answer 1

The answer to your question is x = 17.32; y = 8.67

Explanation:

Process

1.- Use trigonometric functions to find x and y

a) sin Ф =
`(opposite side)/(hypotenuse)`

Ф = 60°

opposite side = 15

hypotenuse = ?

`hypotenuse = (opposite side)/(sin \alpha )`

`hypotenuse = (15)/(sin 60)`

`hypotenuse = (15)/(0.87)`

hypotenuse = 17.32

b) cosФ =
`(y)/(hypotenuse)`

`y = hypotenuse x cos 60`

`y = 17.32 x 0.5`

y = 8.67