Checking and securing understanding of tangent ratio problems

12 questions

1. Match the names of the sides, relative to the angle \theta.
2. The two triangles are similar. What is the length of x?
3. Triangle ABC and triangle DEF are similar. What is the length of x?
4. Work out the value of x to 3 significant figures.
5. Work out the value of x to 1 decimal place.
6. Work out the length of x, to 1 decimal place.
7. For a right-angled triangle, the tangent ratio is \tan(\theta)=\frac{\text{opp}}{\text{adj}}, where \theta is the angle in degrees. Which of these are equivalent forms?
8. Work out the length of x, to 1 decimal place.
9. Work out the length of x, to 1 decimal place.
10. Using the table of values, what is the value of \theta?
11. Match the variables to their values.
12. Work out the value of \theta, to the nearest degree.

License: OGL