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Lesson: Angles of Elevation and Depression Mathematics • 11th Grade

In this lesson, we will learn how to solve real-world problems that involve angles of elevation and depression using the tangent ratio.

Lesson Plan

Students will be able to

recognize which angle represents an angle of depression and which angle represents an angle of elevation,
sketch a diagram from a real-world problem involving an angle of elevation or depression and use this to help solve the problem,
use right trigonometry, namely, the tangent ratio, to solve problems involving one or more angles of elevation.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

In the given diagram of a ladder leaning against a wall, which of the following angles represents the ladder’s angle of elevation?

Q2:

A palm tree 10.6 meters tall is observed from a point 12 meters away on the same horizontal plane as the base of the tree. Find the angle of elevation to the top of the palm tree giving the answer to the nearest minute.

Q3:

Anthony stands 40 m from a building that is 25 m high. What is the angle of elevation from Anthony to the top of the building? Round your answer to the nearest degree.