Question

Find the value of x and the value of y.

Answer 1

the value of :-

x = 10root(3) sin 60°
= 10 (3)/2
= 15

y = 10root(3) cos60°
= 5root(3)

Answer 2

We have a right triangle with a 60 degree angle so this is 30/60/90, half an equilateral triangle, one of the two tired triangles of trig. I could solve it for the thousandth time or just tell you the truth: you need to memorize this one and the other one, 45/45/90, half a square. It's two lousy triangles; you'll be done in ten minutes. But it's ten minutes well spent.

The sides of 30/60/90 are in ratio
`1:√(3):2` and here
`y:x:10√(3)` so

`(y)/(1) = (x)/(√(3)) = (10√(3))/(2)`

`x = √(3) \cdot (10√(3))/(2) = 15`

`y = 5√(3)`

Answer: x=15, y=5√3