The step function is characteristic of the floor or ceiling functions, which map a real number to an integer. There's clearly a factor of 2, indicated by two units of y for every one unit of x.
The open and filled circles indicate, for example, f(1)=2, f(1.01)=4. That means we're rounding up, so we're using the ceiling function.
Answer: second choice
Answer: 173.26 ft = 173 ft
Step-by-step explanation:
h tree: 76 ft
h man: 6 ft
As we can see on the sketch, they form a right triangle, so:
tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft
tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft
distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft
