Right Angle

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Frequently Asked Questions...

How do you work out the opposite side of a right angle Triangle when only given the length of the hypotenuse?

The Hypotenuse is given as 40,000m in 1 hour.
The opposite side and the adjacent side are of a 1 in 10 gradient. The opposite being 1 and the adjacent being 10.

The only angle i have available to me is the 90 degrees of the right angle but this is no use.

Best Answer...


you have the information about the 1 in 10 gradient.
Opposite, O, divided by the adjacent, A, = 1/10

10 O = 1 A
and H^2 = O^2 + A^2 = O^2 +(10O)^2 = 101 O^2
O = H / sqrt(101)
O = 40000/sqrt(101) = 3980.148761 m/hr