Answer:
The height of tree is 10 feets
Step-by-step explanation:
base is 24 ft
height is h ft.
the diagonal (hypotenuse) is 2h+ 6
By the Pythagorean Theorem
24² + h² = (2h + 6)²
Expand
576 + h² = 4h² + 24h + 36
Gather all terms to one side.
0 = 3h² + 24h – 540 (Divide both sides by 3)
0 = h² + 8h –180
0 = (h + 18) (h – 10)
h + 18 = 0 h - 10 = 0
h = -18 h = 10
h = – 18 (impossible for height of tree) or h = 10 ft.
the height of tree h = 10feets
