If a tree casts a shadow of 5 ft 8 in. at the same time that a 6-ft 11-in. person casts a shadow of 4 ft 2 in., find the height of the tree (to the nearest inch).
A) 8 ft 4 in.
B) 11 ft 6 in.
C) 9 ft
D) 9 ft 5 in.
E) 9 ft 4 in.

Question

If a tree casts a shadow of 5 ft 8 in. at the same time that a 6-ft 11-in. person casts a shadow of 4 ft 2 in., find the height of the tree (to the nearest inch). ​
A) 8 ft 4 in.
B) 11 ft 6 in.
C) 9 ft
D) 9 ft 5 in.
E) 9 ft 4 in.

Quizplus · Accepted Answer

We can set up a proportion to solve for the height of the tree:
height of tree / shadow of tree = height of person / shadow of person
Let x be the height of the tree in feet. Then, we have:
x / 5.67 = 6.92 / 4.17
Solving for x, we get:
x = 9.479...
Rounding to the nearest inch, we get:
x ≈ 9 ft 5 in.
Therefore, the best choice is D.

If a Tree Casts a Shadow of 5 Ft 8