Problem solving with right-angled trigonometry

12 questions

1. Work out the length of the hypotenuse, to 1 decimal place.
2. Work out the length of the missing side of this right-angled triangle, to 1 decimal place.
3. Work out the length of the line segment AB, where A(2, 6) and B(5, 10).
4. Work out x to 1 decimal place using the tangent ratio.
5. Work out the size of the angle, x.
6. Work out the length of the edge marked x to 1 decimal place.
7. ABCD is a square on a grid, where each square is 1 unit. Work out the length of BC, to 1 decimal place.
8. Which of these calculations are correct for finding the area of the square ABCD?
9. Match the edge with the correct calculation.
10. Given that this is an isosceles triangle, calculate the angle marked x to 1 decimal place.
11. The area of this isosceles triangle is ___ \text{cm}^2 to 3 significant figures.
12. Given that AB is the diameter of the circle, the area of the circle is ___ \text{cm}^2 to 3 significant figures.

License: OGL