Problema Solution
The buildings have a total height of 1320 feet. the first building is 64 feet taller than the third building and the second building is 35 feet taller than the third building. Find the heights for all three buildings.
Answer provided by our tutors
let
x = the height of the first building
y = the height of the second building
z = the height of the third building
the buildings have a total height of 1320 feet
x + y + z = 1320
the first building is 64 feet taller than the third building
x = z + 64
the second building is 35 feet taller than the third building
y = z + 35
by solving the system of equations
x + y + z = 1320
x = z + 64
y = z + 35
we find
x = 471 ft
y = 442 ft
z = 407 ft
click here to see the step by step solution of the system of equations
the first building is 471 feet high.
the second building is 442 feet high.
the third building is 407 feet high.