When a triangle is a 45-45-90 triangle, the following rules apply:
-the 2 legs are equal lengths - the length of the hypotenuse is: the square root of 2 x the length of a leg. - the length of the leg is: hypotenuse divided by the square root of 2.
if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg. the square root of 2 is <span>1.41421356237. 10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>
Ratio of height of the man to the length of the shadow = 6:9 = 2:3 Ratio of height of the tree to the length of its shadow = x:25 = 2:3 x/25 = 2/3 x = (25 x 2)/3 = 50/3 = 16.67
Therefore the approximate height of the tree to the nearest foot is 17 feet.
