The height of Tower A is 600 feet more than Tower B. The two towers have a combined height of 1,576 feet. What are theheights of each tower?

Respuesta :

The Solution:

Given:

Let the height of Tower B = x feet.

Tower A = (x +600) feet.

Required:

Find the height of each of the two towers if the total height of the two towers is 1,576 feet.

[tex]x+(x+600)=1576[/tex][tex]\begin{gathered} 2x+600=1576 \\ 2x=1576-600 \\ 2x=976 \end{gathered}[/tex]

Divide both sides by 2.

[tex]x=\frac{976}{2}=488\text{ feet}[/tex]

The height of Tower A is:

[tex]\begin{gathered} x+600=488+600=1088\text{ feet} \\ \end{gathered}[/tex]

The height of tower B is 488 feet

Answer:

Tower A's height = 1088 feet

Tower B's height = 488 feet