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.
[tex]\frac{H}{10}=\frac{120}{8}[/tex]
We multiply both sides by 10 to get:
[tex]\frac{H}{10}\times 10=\frac{120}{8}\times 10[/tex]
[tex]H=150[/tex]
Therefore, the height of the tower is 150 ft
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.
[tex]\texttt{Ratio of height to shadow height =}\frac{10}{8}=\frac{5}{4}[/tex]
We have
[tex]\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[/tex]
Height of the tower = 150 foot
