LEARN · EXPLAIN · REVISE

A wheel has radius 8 m and its centre is 10 m above ground. Find the greatest passenger height.

Read the idea, work independently, then explain what changed.

TOPIC 01

Trigonometric functions: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Transfer#Your turn

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Define the geometric or periodic quantities with units, then choose a trigonometric relation.

Hint 2

At the top, add radius to centre height.

Worked solution

Define the geometric or periodic quantities with units, then choose a trigonometric relation.
Calculate or simplify this relation.
$h_{\max}=(10)+8=18$
The corresponding minimum is 2 m, so the wheel remains above ground.

The requested value is 18.

Checks and common pitfalls: The corresponding minimum is 2 m, so the wheel remains above ground.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment