Question

a 15 foot tree casts a shadow 20 3/4 feet long at the same time a nearby building casts a shadow 166 feet long, how tall is the building

Answer 1

Answer: the height of the tree is 27 feet

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h s

h 15 = 18

10

Cross multiply

10 ⋅ h = 18 ⋅ 15

10 h = 270

Use the multiplicative Inverse

10

h

10

=

270

10

h = 27