Question

Hays is standing outside on a sunny day. He is 6 ft tall and casts a 4 ft shadow. What is the distance from the top of Hays's head to the end of his shadow? Round to the nearest tenth, if necessary. 4.5 ft 5 ft 7.2 ft 10 ft

Answer 1

Answer: Just took the test and got the answer!! Step-by-step explanation: Look at the image down below ♡＼(￣▽￣)／♡

Answer 2

Hays' body and his shadow are perpendicular.

So if you imagine the line from the top of his head to the end of his shadow on the ground, you have a right triangle, and the imaginary line is the hypotenuse. Then you can stand back and let Dr. Pythagoras figure out the length of the line for you, using c² = a² + b²

(Distance)² = (Hay's height)² + (length of his shadow)²

(Distance)² = (6 ft)² + (4 ft)²

(Distance)² = (36 ft²) + (16 ft²)

(Distance) = 52 ft²

Distance = √(52 ft)²

Distance = 7.21 ft