Question

A woman wants to measure the height of a nearby tower. She places a 15ft pole in the shadow of the tower so that the shadow of the pole is exactly covered by the shadow of the tower. The total length of the tower's shadow is 172ft , and the pole casts a shadow that is 5.25ft long. How tall is the tower? Round your answer to the nearest foot.

can anyone help me please

Answer 1

are you familiar with ratio and proportion?

Answer 2

yes kind of

Answer 3

good good.

so our proportion here is:

height of tower : shadow of tower = height of pole : shadow of pole

so we have... \[\frac{x}{172} = \frac{15}{5.25}\]
do you follow so far?

Answer 4

ok i can do the rest thank you

Answer 5

welcome