Primary trigonometric ratios

SOH CAH TOA: choose the ratio that uses the two sides you actually have.

A worked example

With opposite 8 and adjacent 15, tan θ = 8/15 = 0.533, so θ = tan⁻¹(0.533) = 28.1°.

The mistake people actually make

A rise-over-run question needs tangent, not sine, because the run is the adjacent side and not the hypotenuse. Use the inverse function when you want the angle rather than the ratio.

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