Asledding run is 300 yards long with a vertical drop of 27.6 yards. find the angle of depression of the run, to the nearest tenth of a degree.

The angle of depression is

Step-by-step explanation:

Let Ф be be the angle of depression

From the diagram below

cosФ  = adjacent / hypotenuse

where adjacent = 27.6 yards    and hypotenuse =300 yards

we will now substitute the above value into the formula;

cosФ =adjacent / hypotenuse

cosФ =     (yards will cancel yards)

cosФ  =

cosФ = 0.092

To get the angle Ф, we will have to take the of both-side

cos Ф  = (0.092)

At the left hand side cos will cancel each other leaving us with only Ф,

Hence;    Ф =   (0.092)

                Ф =84.721

              Ф≈  84.7   to the nearest tenth

Therefore, the angle of depression is

table 3 represents a direct variation function. : )