1. Use the sine function: sin(35°) = opposite/hypotenuse = b/16.
b = 16 × sin(35°) = 16 × 0.5736 ≈ 9.18 cm.
2. Use the sine function: sin(67°) = opposite/hypotenuse = 8/c.
c = 8 / sin(67°) = 8 / 0.9205 ≈ 8.69 m.
3. Use the cosine function: cos(54°) = adjacent/hypotenuse = a/15.
a = 15 × cos(54°) = 15 × 0.5878 ≈ 8.82 cm.
4. Use the cosine function: cos(71°) = adjacent/hypotenuse = 7/e.
e = 7 / cos(71°) = 7 / 0.3256 ≈ 21.5 cm.
5. Use the tangent function: tan(66°) = opposite/adjacent = f/5.
f = 5 × tan(66°) = 5 × 2.2460 ≈ 11.23 cm.
6. Use the tangent function: tan(37°) = opposite/adjacent = 12/g.
g = 12 / tan(37°) = 12 / 0.7536 ≈ 15.92 m.
7. Use the sine function: sin(60°) = opposite/hypotenuse = 6/km.
6 = k × sin(60°) = k × 0.8660.
k = 6 / 0.8660 ≈ 6.93 km.
8. Use the cosine function: cos(79°) = adjacent/hypotenuse = k/15.
k = 15 × cos(79°) = 15 × 0.1908 ≈ 2.86 mm.
9. Use the tangent function: tan(33°) = opposite/adjacent = m/25.
m = 25 × tan(33°) = 25 × 0.6494 ≈ 16.24 cm.
10. Use the sine function: sin(33°) = opposite/hypotenuse = 14.8/p.
p = 14.8 / sin(33°) = 14.8 / 0.5446 ≈ 27.18 cm.
11. Use the cosine function: cos(48°) = adjacent/hypotenuse = 10/p.
p = 10 / cos(48°) = 10 / 0.6691 ≈ 14.94 km.
12. Use the cosine function: cos(43°) = adjacent/hypotenuse = 18/r.
r = 18 / cos(43°) = 18 / 0.7314 ≈ 24.62 cm.
Parent Tip: Review the logic above to help your child master the concept of trigonometry ratios worksheet answers.
