Question

question 14 points 3
a 10- foot lamp pole casts a shadow of a length of 7 feet. at the same time, a tree casts a shadow with a length of 14 feet. what would be the height of the tree?

23 ft

20 ft

15 ft

10 ft

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the tree. The ratio of height to shadow length is constant. So, \(\frac{10}{7}=\frac{h}{14}\).

Step2: Solve for \( h \)

Cross - multiply: \( 7h = 10\times14 \). Then \( 7h = 140 \). Divide both sides by 7: \( h=\frac{140}{7}=20 \).

Answer:

20 ft (corresponding to the option "20 ft")