Question

When looking at two buildings at the same time, the length of the buildings' shadows varies directly as their height, meaning there is a rate of shadow length per building height. If a 7-story building has a 27.65 m long shadow, using a proportion determine how many stories high would a building be if it casts a shadow that is 19.75 m long.

Name: when looking at two buildings at the same time the length of the buildings shadows varies directly as their height meaning there is a rate of shadow length per building height if a 7 story b 57078
Uploaded: 2022-05-24T17:37:36-08:00
Duration: 4 min 42 s
Channel: Nadir Iqbal
Description: when looking at two buildings at the same time the length of the buildings shadows varies directly as their height meaning there is a rate of shadow length per building height if a 7 story b 57078

          When looking at two buildings at the same time, the length of the buildings' shadows varies directly as their height, meaning there is a rate of shadow length per building height. If a 7-story building has a 27.65 m long shadow, using a proportion determine how many stories high would a building be if it casts a shadow that is 19.75 m long.

Added by Paul T.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Nadir Iqbal

05/24/2022

Step 1

Let x be the number of stories of the building with the 19.75 m long shadow. The proportion can be set up as: \(\frac{7}{27.65} = \frac{x}{19.75}\) Show more…

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When looking at two buildings at the same time, the length of the buildings' shadows varies directly as their height, meaning there is a rate of shadow length per building height. If a 7-story building has a 27.65 m long shadow, using a proportion determine how many stories high would a building be if it casts a shadow that is 19.75 m long.