Question

Special right triangles, find x and y

Answer 1

Answer:

The answer to your question is x = 17.32; y = 8.67

Step-by-step explanation:

Process

1.- Use trigonometric functions to find x and y

   a) sin Ф = $\frac{opposite side}{hypotenuse}$

      Ф = 60°

      opposite side = 15

      hypotenuse = ?

     $hypotenuse = \frac{opposite side}{sin \alpha }$

     $hypotenuse = \frac{15}{sin 60}$

     $hypotenuse = \frac{15}{0.87}$

            hypotenuse = 17.32

     b) cosФ = $\frac{y}{hypotenuse}$

         $y = hypotenuse x cos 60$

         $y = 17.32 x 0.5$

                y = 8.67