Question

Standing on a flat field, a surveyor turned on his handheld laser and angled its beam slightly upward. Complete the equation that describes the linear relationship between the height of the laser beam in meters, H, and the distance from the surveyor in meters, d.

a) H = 0.04d + 2
b) H = 0.1d + 2
c) H = 0.16d + 2
d) H = 0.08d + 2

Answer 1

The equation that describes the linear relationship between the height of the laser beam, H, and the distance from the surveyor, d, is H = 0.04d + 2 (option a).

Step-by-step explanation:

The equation that describes the linear relationship between the height of the laser beam, H, and the distance from the surveyor, d, is H = 0.04d + 2 (option a). To understand this equation, let's break it down. The term 0.04d represents the change in height for every meter of distance, and the constant term 2 represents the initial height of the laser beam when the distance is 0. So, as the distance increases, the height of the laser beam increases according to this equation.