contestada

the hor horizontal distance on a survey map without edge of the river bank to the river is 85 feet as shown in the diagram below what is the top of the edge of the riverbank to the service of the river is 97 feet which value is the closest to the angle of depression horizontal distance?

Respuesta :

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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