At a point on the ground 24 feet from the base of the tree, the distance to the top of the tree is 4 feet more than three times the height of the tree. find the height of the tr…

Question

asked Mar 1, 2024 227k views

1 Answer

Nate Diamond · Answer 1 · 2024-03-07T12:32:22+0000

Answer:

7 feet

Explanation:

(3h + 4)² = 24² + h²

9h² + 24h + 16 = 576 + h²

8h² + 24h - 560 = 0

h² + 3h - 70 = 0

(h + 10)(h - 7) = 0

h = 7' (h cannot be -10)