Trigonometry: Primary Ratios

Use SOH-CAH-TOA to find trig ratios in right triangles.

11 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. A right triangle has opposite side 3 and hypotenuse 5. Find sin(θ).
  2. A right triangle has adjacent side 4 and hypotenuse 5. Find cos(θ).
  3. A right triangle has opposite side 3 and adjacent side 4. Find tan(θ).
  4. SOH-CAH-TOA stands for which ratios?
  5. A ladder (hypotenuse) is 10m long and reaches 6m up a wall (opposite). Find sin(θ).
  6. A right triangle has opposite = 7 and adjacent = 7. Find tan(θ).
  7. If sin(θ) = 0.5 in a right triangle, the angle θ is:
  8. A right triangle has adjacent = 5 and hypotenuse = 10. Find cos(θ).
  9. A right triangle has opposite = 6 and hypotenuse = 10. Find cos(θ).
  10. A wheelchair ramp rises 1.2 m vertically over a horizontal distance of 7.5 m. What angle does the ramp make with the ground, in degrees, rounded to one decimal place?
  11. A right triangle has a hypotenuse of 10 cm and one angle of 30 degrees. Find the length of the side opposite that angle, to one decimal place.

Answer these free