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PRIMARY TRIGONOMETRIC RATIOS 𝒔𝑖𝑛𝜃 = 𝒐𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝒉𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 𝐴 𝒄𝑜𝑠𝜃 = 𝒂𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝒉𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 𝒕𝑎𝑛𝜃 = SOH-CAH-TOA hypotenuse opposite 𝜃 𝐵 adjacent 𝐶 𝒐𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝒂𝑑𝑗𝑎𝑐𝑒𝑛𝑡 Determine the sine, cosine and tangent of angle 𝜃 𝑖𝑛 ∆𝐴𝐵𝐶. CALCULATIONS SOH-CAH-TOA 𝐵 26 units 10 units 𝜃 𝐶 24 units 𝐴 Determine the sine, cosine, and tangent of angle Q in ∆𝑃𝑄𝑅 to three decimal places. 𝑄 𝑃 4.2 𝑚 3.3 𝑚 𝑅 Pablo has a well behind his cottage. To measure its depth, he measures the diameter of the well and the angle of depression. Determine the depth of Pablo’s well to the nearest foot. 6ft 72o d=? 6ft Susan is building a skateboard ramp. She wants it to have a vertical rise of 50cm over a horizontal distance of 1.0m. At what angle of elevation should she build the ramp the nearest degree? 50 cm 𝜃 1.0 m ∆𝑇𝑈𝑉 is a right triangle, such that angle U = 90o, u = 5.4m, and v = 3.2m. Solve ∆𝑇𝑈𝑉. “SOLVE” = Find all unknowns 𝑇 5.4 m 3.2 m 𝜃 𝑈 𝑉 p. 80 #1-7, 9, 10a, 11, 13ab