Answer to Question #141365 in Algebra for Nokuphiwe

Question

A telephone booth 210 CM tall casts a shadow 600cm long. At the same time, a nearby fire hydrant casts a shadow 240cm long. Find the height of the fire hydrant.

Answer 1

Let the height of the fire hydrant = $x$

height of telephone booth $\div$ telephone booth shadow length = $x\div$ fire hydrant shadow length

$\frac{210}{600} = \frac{x}{240}$

$600x = 50400$

$x=\frac{50400}{600}=84cm$ (height of the fire quadrant).