Angle of Depression Examples

Here you can see two angle of depression examples with solutions. Example shows that if the object is below the level of the observer, then the angle between the horizontal and the observer's line of sight is the angle of depression. It is always congruent to the angle of elevation.

Angle of Depression Example Problems with Solution

Example 1:

A person stands on the top of a tower which is 10 feet tall and watches the car standing on a road. The distance between the tower and car point on the road is 100m. Find the angle of elevation formed between the observer and car.

Solution:

We can calculate the Angle of Depression using the given formula.

Formula:

Angle of Depression θ = atan(Opposite Side / Adjacent Side)
Where, atan = Arc Tangent

Substituting the values in the formula, θ = atan(Opposite Side / Adjacent Side) = atan(100 / 10) = 84.28°

Therefore, the value of Angle of Depression is 84.28°.

Example 2:

An observer sees the top of the tree from a Pole which is 200 feet long and the distance from the pole and the tree is 100 feet. What is the angle of depression formed?

Solution:

Substituting the values in the given formula, θ = atan(Opposite Side / Adjacent Side) = atan(200 / 100) = 63.42°

Therefore, the value of Angle of Depression is 63.42°


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