Question

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.

Make sure to simplify radicals. Leave your answers as radicals in simplest
form.
60°
x
10
y =
ㄷ

Answer 1

`x=20`

`y=10\,√(3)`

Explanation:

In the triangle we have the following trigonometric equations:

`tan(60^o)=(opposite)/(adjacent) \\√(3) =(y)/(10) \\y=10\,√(3)`

and also:

`cos(60^o)=(adjacent)/(hypotenuse)\\(1)/(2) =(10)/(x)\\x=20`