In the figure, the person is 5 ft tall and his shadow is 4 ft long. The tree's shadow is 22 ft long. What is the height of the tree? Show all your work.

Question

asked Sep 13, 2024 90.0k views

1 Answer

Shashi Penumarthy · Answer 1 · 2024-09-20T10:47:23+0000

Answer: The height of the tree is approximately 44 ft.

Step-by-step explanation: Step 1: Calculate the ratio of the person's height to the length of their shadow.

Person's Height: 5 ft

Length of Shadow: 4 ft

Ratio: 5 ft/4 ft = 1.25

Step 2: Use the ratio to calculate the length of the tree's shadow.

Length of Tree's Shadow: 22 ft

Ratio: 1.25

Calculation: 22 ft/1.25 = 17.6 ft

Step 3: Multiply the length of the tree's shadow by the ratio to calculate the tree's height.

Length of Tree's Shadow: 17.6 ft

Ratio: 1.25

Calculation: 17.6 ft x 1.25 = 22 ft

Answer: The height of the tree is approximately 44 ft.