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

Answer:

77 m

Step-by-step explanation:

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

let h be the height of the tower, then

$\frac{2.9}{h}$ = $\frac{1.77}{47.25}$ ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )