If a tree casts a shadow of $28$ ft at the same time that a $6$ -ft person casts a shadow of $10 \frac { 1 } { 2 }$ ft, find the height of the tree (to the nearest foot).
A) $112$ ft
B) $126$ ft
C) $16$ ft
D) $462$ ft
E) $49$ ft

Question

Quizplus · Accepted Answer

The height of the tree can be found using similar triangles. The ratio of the height of the person to their shadow is the same as the ratio of the height of the tree to its shadow. Therefore, $\frac{6}{10.5} = \frac{h}{28}$. Solving for $h$, we get $h = \frac{6 \times 28}{10.5} = 16$ ft.

If a Tree Casts a Shadow Of 282828 Ft at the Same Time That A

If a Tree Casts a Shadow Of $28$ Ft at the Same Time That A