The height of Tower A is 940 feet more than Tower B. The two towers have a combined height of 1,540 feet. What are the heights of each tower?
Ta-940=Tb
Ta+Tb=1540
subtract the first equation from the second.
Tb+940=1540-Tb
2Tb=600
Tb=300 which implies Ta=1240feet
To find the heights of both towers, let's set up a system of equations based on the given information.
Let H be the height of Tower B.
Tower A is 940 feet more than Tower B, so the height of Tower A is H + 940.
The combined height of both towers is 1,540 feet, so we can write the equation:
H + (H + 940) = 1,540
Simplifying the equation:
2H + 940 = 1,540
Now, let's isolate the variable:
2H = 1,540 - 940
2H = 600
Dividing both sides by 2:
H = 600 / 2
H = 300
Therefore, the height of Tower B is 300 feet.
To find the height of Tower A, we substitute the value of H into the equation: H + 940
Tower A's height = 300 + 940 = 1,240 feet.
So, Tower B is 300 feet tall, and Tower A is 1,240 feet tall.
Let's denote the height of Tower B as "x" (in feet).
According to the problem, the height of Tower A is 940 feet more than Tower B, so the height of Tower A can be expressed as "x + 940".
The problem also states that the combined height of the two towers is 1,540 feet, so the equation would be: x + (x + 940) = 1,540.
Simplifying:
2x + 940 = 1,540.
Now, we can solve for x:
2x = 1,540 - 940,
2x = 600,
x = 600 / 2,
x = 300.
Therefore, the height of Tower B is 300 feet.
To find the height of Tower A:
Height of Tower A = x + 940,
Height of Tower A = 300 + 940,
Height of Tower A = 1,240 feet.
So, Tower A is 1,240 feet tall.