College

The horizontal distance on a survey map from the edge of the riverbank to the river is 85 feet. The vertical distance from the top of the edge of the riverbank to the surface of the river is 97 feet.

Which value is the closest to the angle of depression?

Answer :

you have a right triangle and the length of the hypotenuse and one of the legs.To find the measure of the angle of depression use the next trigonometric function:

[tex]\begin{gathered} \cos \theta=\frac{a}{h} \\ \\ \cos \theta=\frac{85ft}{92ft} \\ \\ \theta=\cos ^{-1}(\frac{85}{92}) \\ \\ \theta\approx22.5 \end{gathered}[/tex]

Then, the closest value to the angle of depression (22.5) is 22º

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