Question

A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby

tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

77 m

Explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

`(2.9)/(h)` =
`(1.77)/(47.25)` ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )