Question

Find x and y. please help me!!

Answer 1

This literally is half an equilateral triangle, a 30/60/90 triangle, the biggest cliche in trigonometry. You should memorize that the sides are in ratio

`1:√(3):2`; then

`x = 16/2 = 8`

`y = (16/2) √(3) = 8 \sqrt 3`

If we didn't know that, we could see that the altitude bisects the equilateral triangle's side, so 16=2x, i.e. x=8. Then
`x^2+y^2=16^2` so

`y = √(16^2 - x^2) = √(16^2-8^2) = √(8^2(4) - 8^2) = 8 √(3)`

Answer: x=8, y=8√3

Answer 2

Now , to find the value of X
Tan 60=opposite/adjacent
=>root3=8root3/X
=>root3 X =8root 3
=>X=8
Hope this helps u....!!!