A1-story community hospital has the shape of a right triangle with sides measuring 119.62 meters, 110 meters and 47 meters. the owners will construct a new aisle perpendicular to the hypotenuse coming from the right angle. what will be the length of the new aisle?

Angle between the sides measuring 119.62 meters and 110 meters is given by
Cos x = (119.62^2 + 110^2 - 42^2) / (2 x 119.62 x 110) = 24644.9444 / 26316.4 = 0.93648616
x = arccos(0.93648616) = 20.53

Now, let the length of the new ailse be l, then
sin 20.53 = l / 110
l = 110 sin 20.53 = 38.58 meters.

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