Question

unit: geometry
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
question 5: 1192388
george, who is 6.25-feet tall, needs to know the height of a tree that he is going to cut down. he notices that he casts a 10-foot shadow when the tree casts a 28-foot shadow. the height of the tree is ______ feet tall. enter only the number.
the solution is

Explanation:

Step1: Set up proportion

Let \( h \) be the tree's height. The ratio of height to shadow length should be equal for George and the tree. So, \( \frac{6.25}{10}=\frac{h}{28} \).

Step2: Solve for \( h \)

Cross - multiply: \( 10h = 6.25\times28 \). Calculate \( 6.25\times28 = 175 \). Then, \( h=\frac{175}{10}=17.5 \).

Answer:

17.5