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