You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 53 and the distance to the kite is 300 feet. Your hand is 4 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.

a. is correct

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.