Question

Find the length of side x in simplest radical form with a rational denominator.

60°
11
x
30%

Answer 1

x = √29.42

Explanation:

according to Pythagoras theorem,

11² = x² + base

cos 30° = base / 11

base = 11 * cos 30°

= 11 * .87 = 9.57

putting the value in the theorem,

11² = x² + 9.57²

121 - 91.58 = x²

x² = 29.42

in simplest radical form, x = √29.42

Answer 2

sin30 =x/11

x=11*sin(30)=5,5

or

cos60=x/11

x=11*cos(60)=5,5

Explanation: