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katovenus [111]
3 years ago
7

Find tan 0, where is the angle shown give an exact value not a decimal approximation plz help due soon !

Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

tanθ = \frac{15}{8}

Step-by-step explanation:

let the unknown side be x , then

Using Pythagoras' identity in the right triangle

x² + 5² = 17²

x² + 25 = 289 ( subtract 25 from both sides )

x² = 225 ( take the square root of both sides )

x = \sqrt{225} = 15

Then

tanθ = \frac{opposite}{adjacent} = \frac{15}{8}

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