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# Geometry

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What is the trigonometric ratio for sin S as a simplified fraction?

Guest May 3, 2017

#1
+4174
+3

sin (S) = opposite / hypotenuse

sin (S) = QR / 68

To find the length of QR, we can use the Pythagorean theorem.

QR2 + 602 = 682

QR2 = 682 - 602

QR = $$\sqrt{68^2-60^2}=\sqrt{4624-3600}=\sqrt{1024}=32$$

So..

sin (S) = $$\frac{32}{68}=\frac{8}{17}$$     :)

hectictar  May 3, 2017
Sort:

#1
+4174
+3

sin (S) = opposite / hypotenuse

sin (S) = QR / 68

To find the length of QR, we can use the Pythagorean theorem.

QR2 + 602 = 682

QR2 = 682 - 602

QR = $$\sqrt{68^2-60^2}=\sqrt{4624-3600}=\sqrt{1024}=32$$

So..

sin (S) = $$\frac{32}{68}=\frac{8}{17}$$     :)

hectictar  May 3, 2017

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