Question

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

Answer 1

Angle of elevation from the duck is
`59.7^(o)`

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 =
`(opposite)/(adjacent)`

So that,

Tan θ =
`(12)/(7)`

= 1.7143

θ =
`Tan^(-1)` 1.7143

= 59.7438

θ =
`59.7^(o)`

The angle of elevation from the duck is determined as
`59.7^(o)`.