A building casts a shadow 48 feet long. At the same time, a 40-foot-tall flagpole casts a shadow 9.6

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

A building casts a shadow 48 feet long. At the same time, a 40-foot-tall flagpole casts a shadow 9.6 feet long. What is the height of the building?

Aug 26th, 2015

We solve this using proportion, so

shadow : height : : shadow : height

                 48 : x : : 9.6 : 40

                   48/x = 9.6/40

Taking reciprocal, we get

                   x/48 = 40/9.6

 Multiply by 48 on both sides, we get

            48 * x/48 = 48 * 40/9.6

                         x = 1920/9.6

                         x = 200 feet

Hence the height of the building is 200 feet.

Aug 26th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Aug 26th, 2015
...
Aug 26th, 2015
Oct 17th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer