A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long. How tall is the palm tree? A) 21 ft. B) 1.7 ft. C) 37.3 ft. D) 26.4 ft.

Question

asked Mar 14, 2024 39.5k views

1 Answer

Mikywan · Answer 1 · 2024-03-18T05:34:08+0000

The height of the palm tree is 21 ft.

To find the height of the palm tree, we can use the concept of similar triangles. Let's set up a proportion using the shadows:

(Height of palm tree)/(Length of palm tree's shadow) = (Height of sign)/(Length of sign's shadow)

Plugging in the given values, we get:

(Height of palm tree)/28 = 6/8

Cross-multiplying, we have:

(Height of palm tree) = (28 * 6)/8

(Height of palm tree) = <<(28*6)/8=21>>21 ft

Therefore, the height of the palm tree is 21 ft.