Question

I NEED AN ANSWER SOON PLEASE! WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!!!!

Answer 1

Answer:

y ≈ 16.33  

Step-by-step explanation:

∆SPQ is a 30-60-90 right triangle  

PS:QS:PQ = 1:2:√3

    QS/PQ = 2/√3

    QS/PQ = QS/10

     QS/10 = 2/√3     Multiply each side by 10

         QS = 20/√3

∆RSQ is a 45-45-90 right triangle.

∴ RS = QS  = 20/√3

   RS²     +    QS²      = QR²

(20/√3)² + (20/√3)² =   y²

  400/3   +  400/3   =    y²

                   800/3   =    y²     Take the square root of each side

                             y = √(800/3)

                                = 20√(2/3)

                                = (20√6)/3

                                ≈ 16.33