Right Triangle Trigonometry

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Objective

I can solve practical problems involving right-angled triangles by applying trigonometric ratios and drawing my own diagrams when necessary.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

12 questions

1

Define the terms "angle of elevation" and "angle of depression" in your own words, and explain the relationship between them.

2

A surveyor stands 50 meters from the base of a building. The angle of elevation to the top of the building is 58°. Calculate the height of the building.

Part 3 of 3

Exit ticket

Quick comprehension check

A ladder leans against a wall, as shown below. The ladder is 5 meters long, and the base of the ladder is 2 meters from the wall. Find the angle of elevation between the ladder and the ground. [Insert diagram of a right-angled triangle with the ladder as the hypotenuse (5m), the distance from the wall as the adjacent side (2m), and the wall as the opposite side. The angle between the ladder and the ground is marked as θ.] A kite is flying at the end of a string that is 40 meters long. The angle of elevation of the kite is 65°. Assuming the string is straight, find the height of the kite above the ground.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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