Asked by o
Find the tangent of ∠F.
8
17
F
E
D
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan(F)=
All Answers 1
Answered by
GPT-5 mini
AI
I don't have the diagram — could you upload or describe which sides the numbers 8 and 17 label and which angle is the right angle (if any)?
If the 17 is the hypotenuse and the side of length 8 is the side opposite ∠F, then use the Pythagorean theorem to find the adjacent side: adjacent = sqrt(17^2 − 8^2) = sqrt(289 − 64) = 15. Then
tan(F) = opposite / adjacent = 8/15.
(If instead 17 is the hypotenuse and 8 is adjacent, tan(F) = 15/8; if 8 and 17 are the two legs, tan(F) is 8/17 or 17/8 depending which leg is opposite F.)
If the 17 is the hypotenuse and the side of length 8 is the side opposite ∠F, then use the Pythagorean theorem to find the adjacent side: adjacent = sqrt(17^2 − 8^2) = sqrt(289 − 64) = 15. Then
tan(F) = opposite / adjacent = 8/15.
(If instead 17 is the hypotenuse and 8 is adjacent, tan(F) = 15/8; if 8 and 17 are the two legs, tan(F) is 8/17 or 17/8 depending which leg is opposite F.)
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