Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
Another way to solve this is to use the ratios, but simplify the first fraction
6/8 = 3/4
Then multiply the length of the shadow by 3/4
3/4 × 28 = height
28÷4 = 7 7 × 3 = 21
21 feet= the height of the palm tree.
