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Worksheet
SOHCAHTOA Worksheet
Maths · Years 7–12 · PDF · 3 pages · 1.4 MB · by George Lahoud, Yagoona NSW
What's inside
A worksheet following the video: Trigonometry Basics - https://www.youtube.com/watch?v=SOfP71X9RoU
TUTOR MARKETPLACE · FREE WORKSHEET RIGHT-ANGLED TRIGONOMETRY · STAGE 5 / GCSE SOHCAHTOA Finding a missing side in a right-angled triangle Name Date Score / 14 THE METHOD 1 Label the sides H, O and A from the angle you're given 2 Choose the ratio that uses the two sides in the question 3 Substitute the values and solve for x THE RATIOS sin θ = opposite hypotenuse cos θ = adjacent hypotenuse tan θ = opposite adjacent SOH · CAH · TOA θ Opposite Adjacent Hypotenuse A Label the sides Write H, O or A in each box. Always label from the angle θ. 1. θ 2. θ 3. θ B Write the ratios Label the sides first, then write each ratio as a fraction. 4. θ 12 5 13 sin θ = cos θ = tan θ = 5. θ 8 15 17 sin θ = cos θ = tan θ = 6. θ 24 7 25 sin θ = cos θ = tan θ = tutor-marketplace.com Watch: SOHCAHTOA Explained Step-by-Step · YouTube @tutormarketplace 1 / 3 SOHCAHTOA FINDING A MISSING SIDE C Find x Answers correct to 2 decimal places. Calculator in degrees. QUESTIONS 7–9 · X IS ON THE TOP OF THE FRACTION 7. 25° 12 x x = 8. 50° 9 x x = 9. 40° 6 x x = QUESTIONS 10–12 · X IS ON THE BOTTOM, SO REARRANGE CAREFULLY 10. 32° 8 x x = 11. 55° 11 x x = 12. 63° 7 x x = D Worded questions Sketch the triangle and label it before you choose a ratio. 13. A 6 m ladder leans against a vertical wall. It makes an angle of 70° with the ground. How far up the wall does the ladder reach? Sketch Height = m
The first words of the file, as the tutor wrote them. Checked by Tutor Marketplace on 6 Nov 2026.