Final answer:
Building A is 170 feet shorter than Building B. To find the height of Building A, let's call it 'A' and the height of Building B 'B'. We can write two equations using the given information and solve them to find the height of Building A. Substituting the values, we find that Building A is b) 670 feet tall.
Step-by-step explanation:
Let's call the height of Building A 'A' and the height of Building B 'B'.
According to the problem, Building A is 170 feet shorter than Building B, so we can write the equation A = B - 170.
It is also mentioned that the total height of the two buildings is 1510 feet, so we can write another equation A + B = 1510.
We can solve these two equations to find the height of Building A.
Substituting the value of A from the first equation into the second equation, we get (B - 170) + B = 1510.
Combining like terms, we find 2B - 170 = 1510.
Adding 170 to both sides of the equation, we get 2B = 1680.
Dividing both sides of the equation by 2, we get B = 840.
Finally, substituting the value of B into the first equation, we find A = 840 - 170 = 670.
Therefore, the height of Building A is 670 feet.