Harrison steps outside his house to see the hot air balloon pass by. He raises his eyes at a 35⁰ angle to view the balloon. If the balloon is 5,000 feet above the ground, about how far is it from Harrison? Note: Harrison’s eye level is 5.2 feet from the ground.

4 + 5 7/9= 9 7/9

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.