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

Answer:

$x=20$

$y=10\,\sqrt{3}$

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

$tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}$

and also:

$cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20$