Stage 25 · Trigonometry

25.1.1 Slope and Angle

25.1 Starting from the Right Triangle: Trig Ratios of Acute Angles

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25.1.1 Slope and Angle

Core idea

The steeper a hill, the harder the climb, and the ratio 'how far you rise up divided by how far you go across' captures exactly how steep it is.

Module goal. Carrying the function idea forward, we first build the link between an angle and the ratios of sides inside the most familiar shape — the right triangle — and learn to use it to measure real heights and distances.
eastmath.com · 25.1 Starting from the Right Triangle: Trig Ratios of Acute Angles · 25.1.1 Slope and Angle