Question

How can i find x and y in a triangle?

Answer 1

Using the sine formula;

sin 60 / x = sin 90 / 16

cross-multiply

x sin 90 = 16 sin 60

Divide both-side of the equation by sin 90

x = 16 sin 60 /sin 90

x= 13.86

To find y, we can simply use the Pythagoras theorem

opp² + adj² = hyp²

13.86² + y² = 16²

192.0996 + y² =256

subtract 192.0996 from both-side of the equation

y² = 256 - 192.0996

y² = 63.9004

Take the square root of both-side

y = 7.99