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andrezito [222]
2 years ago
12

Express sin T as a fraction in simplest terms.

Mathematics
1 answer:
iren [92.7K]2 years ago
8 0

Answer:

sinT = \frac{15}{17}

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = \sqrt{1156} = 34 , then

sinT = \frac{opposite}{hypotenuse} = \frac{RS}{RT} = \frac{30}{34} = \frac{15}{17}

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