To solve this problem
⇒ need to use the special right triangle theorem
⇒ 30-60-90 triangle theorem (look at diagram attached for the property)
- (we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)
Using the theorem:
- the side facing opposite the 60-degree angle is equal ⇒ [tex]x\sqrt{3}[/tex]
[tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]
- the side facing opposite the 90-degree angle is twice the value of x
[tex]y = 2x = 2 * 17 =34[/tex]
Answers:
x = 17 and y = 34
Hope that helps!
