Answer:
11.8 meters
Step-by-step explanation:
The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.
The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.
(?)² + 34² = 36²
(?)² + 1156 = 1296 . . . evaluate the squares
(?)² = 140 . . . . . . . . . . subtract 1156 from both sides
(?) = √140 . . . . . . . . . take the square root
(?) ≈ 11.8 . . . meters
The length of the shadow is about 11.8 meters.
