A point on the grount is 50 feet from my house. The angle of elevation to the top of the house is 48 degrees. Find the height of the house to the nearest tenth. Explain.

9514 1404 393

  55.5 ft

Step-by-step explanation:

In the attached diagram, PH = 50 represents the distance from point P to the house. The length of HT represents the height to the top of the house. The angle at P is the angle of elevation. That angle is adjacent to PH and opposite HT. This means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(48°) = HT/(50 ft)

  HT = (50 ft)tan(48°) ≈ 55.53 ft

The height of the house is about 55.5 feet.

$9.41

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.