Question

8.) Jesenia is standing on a pedestrian bridge that is 9.5 feet above a lake. She looks down and sees a

duck in the water. The duck is 4.5 feet away from Jesenia's position on the bridge. What is the angle of
depression from Jesenia to the duck? Round to the nearest degree.

Answer 1

Answer: The angle of depression from Jesenia to the duck is 25.17°. The solution has been obtained by using trigonometry.

What is trigonometry?

Right-angled triangles, their sides, angles, and connections are the main topics of the mathematical field of trigonometry.

We are given that that Jesenia is standing on a pedestrian bridge that is 9.5 feet above the lake and the duck is 4.5 feet away from jesenias position on the bridge.

This means that perpendicular is 9.5 and base is 4.5.

We know that tan θ is value of opposite side to adjacent side.

So, we get

⇒ Tan θ =

⇒ Tan θ = 0.47

⇒ θ = 25.17°

Hence, the angle of depression from Jesenia to the duck is 25.17°.

Explanation:

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