Question

A antenna that is 30 meters tall casts a shadow 16 meters long. If a nearby stone tower casts
a shadow 32 meters long, what is the stone tower's height?
Write your answer as a whole number or a decimal. Do not round.​

Answer 1

Step-by-step explanation:

Let the stone tower's height be x meters.

$\therefore \: \frac{30}{16} = \frac{x}{32} \\ \\ \therefore \: x = \frac{30}{16} \times 32 \\ \\ \therefore \: x = 30 \times 2 \\ \\ \huge \red{ \boxed{\therefore \: x = 60 \: m}}$

Thus, the stone tower's height = 60 meters.