Question

ection 5) (dual credit - little chut
em solving with systems
question 1, 10.4.1
part 1 of 2
hw score: 0%, 0 of 14 points
points: 0 of 1
building a is 170 feet shorter than building b. the total height of the two buildings is 1510 feet. find the height of each building.
what is the height of building a? □ ft
(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Define variables for heights

Let $h_A$ = height of Building A, $h_B$ = height of Building B.

Step2: Set up system of equations

From problem:
$h_A = h_B - 170$
$h_A + h_B = 1510$

Step3: Substitute $h_A$ into total height

$(h_B - 170) + h_B = 1510$

Step4: Solve for $h_B$

$2h_B - 170 = 1510$
$2h_B = 1510 + 170 = 1680$
$h_B = \frac{1680}{2} = 840$

Step5: Calculate $h_A$

$h_A = 840 - 170 = 670$

Answer:

670 ft