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Varvara68 [4.7K]
3 years ago
9

Special right triangles, find x and y

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

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

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