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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

User Alxlives
by
4.1k points

1 Answer

6 votes

Answer:

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).

User AgentRev
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4.2k points