Final Answer:
Using the rating curve in figure 43-1, the estimated gage height when Cache Creek has a discharge of 50 cms is approximately 0.5 meters.
Step-by-step explanation:
A rating curve illustrates the relationship between gage height (water level) and discharge (flow rate) for a specific river or stream. By referencing the given rating curve, which plots gage height against discharge, we can estimate the gage height corresponding to a discharge of 50 cms.
Locate the point on the rating curve where the discharge value of 50 cms intersects with the corresponding gage height. From this point, read the associated gage height value on the vertical axis of the rating curve. In this case, the estimated gage height when Cache Creek has a discharge of 50 cms is approximately 0.5 meters, determined from the intersection point on the rating curve.
Understanding rating curves is crucial in hydrology and river/stream monitoring as they provide a graphical representation of the relationship between water level and flow rate, aiding in estimating water levels based on observed flow rates or vice versa.