Acellular telephone tower that is 150 ft tall is placed on top of a mountain that is 1200 feet above sea level a cellular and selling cell phone user jesse who is five horizontal miles away from and 40 feet above sea level. what is the angle of depression from the top of the tower to jesse?

We assume a flat earth.

tan(θ) = (difference in height)/(horizontal distance)
.. = (1200 +150 -40)/(5*5280) = 1310/26400 . . . . distances in feet
Then
.. θ = arctan(131/2640) ≈ 2.841°

The angle of depression from the top of the tower is about 2.841°.

Answer

1 number

explanation

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.

Neither is the answer