The height of tower A is 852 feet more than tower B. The two towers have a combined height of 1,824 feet. What are the heights o

Question

Lera25 [3.4K]

3 years ago

12

The height of tower A is 852 feet more than tower B. The two towers have a combined height of 1,824 feet. What are the heights o

f each tower?

Mathematics

2 answers:

RUDIKE [14] · Answer 1 · 2022-07-14T02:46:15+03:00

RUDIKE [14]3 years ago

8 0

$\bf \textit{A is 852 feet more than tower B}\implies a=b+852
\\\\\\
\textit{The two towers have a combined height of 1,824}\implies a+b=1824\\\\
-------------------------------\\\\
\begin{cases}
\boxed{a}=b+852\\
a+b=1824\\
----------\\
\boxed{b+852}=1824
\end{cases}
\\\\\\
b=1824-852\implies b=972$

how tall is A? well, a = b + 852.

Stells [14] · Answer 2 · 2022-07-14T04:04:26+03:00

<h2>Answer:</h2>

Height of Tower A = 1338 feet.

Height of Tower B = 486 feet.

<h2>Step-by-step explanation:</h2>

It is given that:

The height of tower A is 852 feet more than tower B.

Let the height of tower B= x feet.

Then the height of tower A= (x+852) feet.

Also,

The two towers have a combined height of 1,824 feet.

This means that:

$(x+852)+x=1824\\\\x+852+x=1824\\\\x+x+852=1824\\\\2x+852=1824\\\\2x=1824-852\\\\2x=972\\\\x=\dfrac{972}{2}\\\\x=486$

Height of tower B= 486 feet.

and height of tower A= 486+852= 1338 feet