A water tower casts a 100- foot shadow. At the same time, an 8- foot street sign casts a shadow of 6 feet. what is the height of

Question

MAVERICK [17]

3 years ago

14

A water tower casts a 100- foot shadow. At the same time, an 8- foot street sign casts a shadow of 6 feet. what is the height of

a tower?

Mathematics

1 answer:

Elina [12.6K] · Answer 1 · 2022-04-15T03:41:37+03:00

Set up and solve an equation of ratios. Comparing shadow lengths, we get 100/6; comparing heights, we get x/8. Set these two ratios equal to one another and solve the resulting equation for x:

100 x
----- = ------ Then 6x=800, and x = 800 feet^2 over 6 feet. Your answer
6 8

must have the unit of measurement "ft."