Answer: The angle of depression is [tex]84.7^{0}[/tex]
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 = [tex]\frac{27.6 yards}{300 yards}[/tex] (yards will cancel yards)
cosФ =[tex]\frac{27.6}{300}[/tex]
cosФ = 0.092
To get the angle Ф, we will have to take the [tex]cos^{-1}[/tex] of both-side
[tex]cos^{-1}[/tex] cos Ф = [tex]cos^{-1}[/tex] (0.092)
At the left hand side [tex]cos^{-1}[/tex] cos will cancel each other leaving us with only Ф,
Hence; Ф = [tex]cos^{-1}[/tex] (0.092)
Ф =84.721
Ф≈ 84.7 to the nearest tenth
Therefore, the angle of depression is [tex]84.7^{0}[/tex]
