From a point on the ground 300 feet from the base of a factory, the angle of elevation of the top of the factory is 38 degre, and the angle
of elevation of the top of the smokestack is 52 degree. Find the height of
the smokestack to the nearest foot.

the answer is f(x)=2x-1

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal