Right Triangle Trigonometry

Grade 945 min

aligned to Australian Curriculum V9 Year 10: Students Apply Pythagoras’ Theorem And Trigonometry To Solve Practical Problems Involving Right-angled Triangles.

Learning Objective

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

Lesson Flow

Watch Video

5 min

Trigonometry - Applications

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Practice

14 min

12 questions • Short answer

Exit Ticket

5 min

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.

Teacher Guide

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  • Answer keys for all questions
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