Question

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.

Answer 1

The height of the palm tree is 21 ft.

Step-by-step explanation:

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.