Problem involving Geometry (Pythagorean Theorem)

Question

A 15-m vertical pole casts a 6-m shadow when a tower casts a shadow of 100 m. What is the height

of the tower? Show your solution.

Answer 1

T/100 = 15/6 = 2.5

T =2.5(100) = 250 meters = height of the Tower

Answer 2

create a proportion

height of pole height of tower

------------------ = ---------------------

length of pole shadow length of tower shadow

substitute the given 3 of these values and solve for the tower height.