Question

a 2.4 foot stick casts a 1.3 foot shadow. at the same time a tree casts a 2.9 foot shadow. how tall is the tree? 1.07 feet 5.35 feet 5.83 feet 1.57 feet

Explanation:

Step1: Set up proportion

Let \( h \) be the height of the tree. The ratio of height to shadow length should be equal for the stick and the tree. So, \(\frac{2.4}{1.3}=\frac{h}{2.9}\).

Step2: Solve for \( h \)

Cross - multiply: \( 1.3h = 2.4\times2.9 \). Calculate \( 2.4\times2.9 = 6.96 \). Then \( h=\frac{6.96}{1.3}\approx5.35 \).

Answer:

5.35 feet