SOLUTION: the angle is 15, adjacent is 3 and opposite is 7 find the hypotenuse

Question 467076: the angle is 15, adjacent is 3 and opposite is 7 find the hypotenuse
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
an adjacent side of 3 and an opposite side of 7 leads to an angle of 66.80140949 degrees.
you cannot have an angle of 15 degrees with an opposite side of 7 and an adjacent side of 3.
i will assume your angle is 66.80140949 and solve for the hypotenuse.
fyi, the angle was derived as follows:
tangent (x) = opposite / adjacent = 7/3 = 2.3333333333333
arc tangent (2.333333333333) = 66.80140949 degrees.
you can use either sine or cosine formula to find the hypotenuse.
sine (66) = opposite / hypotenuse = 7 / hypotenuse
this leads to hypotenuse = 7 / sine(66) which equals 7.615773106.
cosine (66) = adjacent / hypotenuse = 3 / hypotenuse
this leads to hypotenuse = 3 / cosine (66) which equals 7.615773106
both methods lead to a hypotenuse of 7.615773106.
i do not know where you got the 15 degrees from.
the tangent of 15 degrees is equal to .267949192 which cannot be duplicated by 7/3 or 3/7.

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