A tree has a shadow that is 9 feet long Otis is 4 feet tall and is standing next to the tree Otis has a shadow that is 4.5 feet

Question

3 years ago

13

long how tall is the tree

2 answers:

Scilla [17] · Answer 1 · 2022-08-05T09:54:10+03:00

8 0

The tree is 8 feet tall.

Triss [41] · Answer 2 · 2022-08-05T11:32:51+03:00

Answer: 8 feet.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. First, you can draw the diagram shown in the image attached.

3. Now, you must use proportions and solve for $x$ , which is the height of the tree:

$\frac{x}{9}=\frac{4}{4.5}\\x=\frac{(4)(9)}{4.5}\\x=\frac{36}{4.5}\\x=8$

4. As you can see, the height of the tree is 8 feet.