You are standing on a footbridge that is 12 feet above a lake. You look down and see a duck in the water. The duck is 7 feet away from the footbridge. What is the angle of elevation from the duck to you? Round your answer to the nearest tenth. PLEASE HELPPPPPP

Respuesta :

Answer:

Angle of elevation from the duck is [tex]59.7^{o}[/tex]

Step-by-step explanation:

This description can be represented by the three sides of a triangle and the given angle. Let the angle required be represented by θ. Thus applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

So that,

Tan θ = [tex]\frac{12}{7}[/tex]

          = 1.7143

θ = [tex]Tan^{-1}[/tex] 1.7143

  = 59.7438

θ = [tex]59.7^{o}[/tex]

The angle of elevation from the duck is determined as [tex]59.7^{o}[/tex].