A person is on top of a cliff, 180 feet above the level of the water below. The person sees a boat in the water that is 475 feet from the base of the clift. What is the angle of depression that is used by the person at that moment?
a.20.8
b.69.2
c.67.7°
d.22.30

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.