SOLUTION: There is a 15 75 90 degree triangle, the shortest leg is 40 meters what is the length of the long leg and the hypoteneus?

Question 493236: There is a 15 75 90 degree triangle, the shortest leg is 40 meters what is the length of the long leg and the hypoteneus?
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
You can use the tangent function to find the adjacent leg.
tan 15= 40/adj = 40/tan 15 = 149.3 meters. This is the adjacent leg.
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We can also use the law of sines to find the adjacent leg.
40/sin 15 = x/sin 75. x = 149.3 meters.
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Next, we can use a^2 + b^2 = c^2 to find the hypotenuse.
1600 + 22290.49 = 23890
= approx 154.5 meters
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We can also use the law of sines to find the hypotenuse.
40/sin 15 = x/sin 90 x = approx. 154.5 meters
Cleomenius.

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