Question

A 1-story community hospital has the shape of a right triangle with the 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?

Answer 1

43.2 meters

Explanation:

Answer 2

Angle between the sides measuring 119.62 and 110 meters can be obtained thus
cos theta = 110 / 119.62 = 0.9196
Theta = arccos(0.9196) = 23.13

Let the length of the new aisle be x, then
sin 23.13 = x / 110
x = 110 sin 23.13 = 43.2 meters.