Trigonometry allows us to use ratios that are associated with any angle ABC, so we can calculate a broad range of heights without having to measure them. You will learn about three important ratios for any angle: sine (shortened to sin), cosine (cos) and tangent (tan).
The base of the right-angled triangle shown is 5 cm in length, and the angle A is 60°.
Calculate the alatitude BC.
Tan60°= h ÷ 5
1.7321= h ÷ 5
h = 5 × 1.73321
h = 8.6605
h ≈ 8.7 cm
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