3. buildings the sears tower in chicago is the tallest building in north america. the total height of the…
3. buildings the sears tower in chicago is the tallest building in north america. the total height of the tower t and the antenna that stands on top of it a is 1729 feet. the difference in heights between the building and the antenna is 1171 feet. how tall is the sears tower?
Answer
Explanation:
Step1: Set up equations
Let the height of the tower be (t) and the height of the antenna be (a). We have two equations: (t + a=1729) and (t - a = 1171).
Step2: Add the two equations
Adding (t + a=1729) and (t - a = 1171) gives ((t + a)+(t - a)=1729 + 1171). Simplifying the left - hand side: (t + a+t - a = 2t). Simplifying the right - hand side: (1729+1171 = 2900). So, (2t=2900).
Step3: Solve for (t)
Divide both sides of (2t = 2900) by (2), (t=\frac{2900}{2}).
Answer:
The height of the Sears Tower is (1450) feet.