Question

An electrical tower casts a 120-foot shadow. At the same time, a 10-foot

Answer 1

Answer:

Height of the tower = 150 foot

Step-by-step explanation:

We need to find height of the tower with 120-foot shadow.

We have a 10-foot  street sign casts a shadow of 8 feet.

$\texttt{Ratio of height to shadow height =}\frac{10}{8}=\frac{5}{4}$

We have

       $\frac{\texttt{Height of tower}}{\texttt{Shadow height of tower}}=\frac{5}{4}\\\\\frac{\texttt{Height of tower}}{120}=\frac{5}{4}\\\\\texttt{Height of tower}=\frac{5}{4}\times 120=150feet$

Height of the tower = 150 foot

Answer 2

Answer:

The height of the tower is 150 ft

Step-by-step explanation:

Let the height of the tower be H feet.

The corresponding sides will then be in the same proportion.

The ratio of the shadows will be in the same proportion as the ratio of the heights.

$\frac{H}{10}=\frac{120}{8}$

We multiply both sides by 10 to get:

$\frac{H}{10}\times 10=\frac{120}{8}\times 10$

$H=150$

Therefore, the height of the tower is 150 ft