Question

What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.

Answer 1

49 feet

Explanation:

We solve for this using proportion

Height of Jack's house = ?? = Y

Length of the shadow of Jack's house = 56 feet

Height of a tree = 21 feet

Length of the shadow of the tree = 24 feet

Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree

Y/56 = 21/24

Cross Multiply

24 × Y = 56 × 21

Y = 56 × 21/24

Y = 1176/24

Y = 49 feet

Therefore, the height of Jack's house is 49 feet