EXPLANATION: This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows: • 60 degrees = z√3 - this is the value for your y answer • 30 degrees = z - this is the value for your x answer • Hypotenuse = 2z - this is what we already have
We solve for what we already have which is the Hypotenuse = 30: 2x = 30 x = 15
We now have our x value which is 15. Now we just plug in that x value for every expression for every angle.
x = 15 y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
