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Liono4ka [1.6K]
3 years ago
7

FIND sin0 WHERE 0 IS THE ANGLE SHOWN. GIVE AN EXACT VALUE, NOT A DECIMAL APPROXIMATION. Branliest​

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0

Answer:

\frac{\sqrt{15} }{8}

Step-by-step explanation:

We require to find the third side of the triangle.

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the third side, then

x² + 7² = 8², that is

x² + 49 = 64 ( subtract 49 from both sides )

x² = 15 ( take the square root of both sides )

x = \sqrt{15}

Thus

sinΘ = \frac{opposite}{hypotenuse} = \frac{\sqrt{15} }{8}

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