What is the relationship between the angle of elevation and the angle of depression? give an example of an application using the angle of elevation or the angle of depression.

The relationship between the angle of elevation and the angle of depression is called alternate interior angles theorem. As such, these angles are congruent and equal. Since parallel lines form between two horizontal lines, these two angles are formed on either side of a transversal which cuts through the parallel lines. The angle of depression is formed downward from a horizontal line. The angle of elevation is formed upward from a horizontal line. See attached picture.

Angles of elevation and depression are most often used in applications of trigonometric functions. These functions include Sine, Cosine, and Tangent. Using the ratios for each function and a calculator, unknown distances can be found in a scenario. An example of an application using the angle of elevation or the angle of depression can be found here .

To solve examples of an application using the angle of elevation or the angle of depression, use the following steps:

See an example of each step here: .

Grade: High School

Subject: Trigonometry

Chapter: Trigonometric Functions

Keywords: angle of depression, angle of elevation, tangent, sine, cosine, trigonometry, trigonometric, right triangle, parallel lines, alternate interior angle theorem

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answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: