Respuesta :
Answer:
21 feet
Step-by-step explanation:
To solve this question, we would be using the proportion
Shadow /Height
From the question:.
Manny's shadow = 414 feet
Manny's Height = 512 feet
Height of the tree = ? = x
Shadow of the tree = 17 feet
Hence:
414/512 = 17/ x
Cross Multiply
414 × x = 512 × 17
x = 512 × 17/414
x = 21.024154589 feet
x ≈ Approximately = 21 feet
The height of the tree = 21 feet
The height of the tree is 21 feet.
Given that,
- Manny is 512 feet tall, and his shadow is 414 feet long.
- The shadow of the tree is 17 feet long.
- Here we assume the height be x
Based on the above information, the calculation is as follows:
[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]
x = 21.02
= 21 feet
Therefore we can conclude that the height of the tree is 21 feet.
Learn more: brainly.com/question/24169758
