Respuesta :

Answer:

The answer to your question is:

7.-  y = 6 units

8.-  a = 10.6 in

9.- 41.6 ft

Step-by-step explanation:

7.- That is a right triangle and the hypotenuse is y.

     Use the pythagorean theorem to find y.

        y² = (3√2)² + (3√2)²

         y² = 9(2) + 9(2)

         y² = 18 +18

         y² = 36

        y = 6 units

8.-

  hypotenuse = 15 in

  c² = a² + b²

  a = b  so

 c² = a² + a²

c² = 2a²

c² / 2  = a²

a² = 15² / 2

a² = 112.5

a = 10.6 in

9.-

Use trygonometry to solve this triangle

height = 36 feet

sin Ф = 36 / hypotenuse

hypotenuse = 36 / sin Ф

hypotenuse = 36 / sin60

hypotenuse = 36 / 0.86

hypotenuse = 41.6 ft