**Q1: **

is a triangle, where , , and . Find the length of , giving your answer to one decimal place.

**Q2: **

Find all the angles and lengths of the given triangle, giving the lengths to three decimal places and angles to the nearest degree.

- A, ,
- B, ,
- C, ,
- D, ,

**Q3: **

Find all the angles and lengths of the given triangle, giving the lengths to three decimal places and angles to the nearest degree.

- A, ,
- B, ,
- C, ,
- D, ,

**Q4: **

Find all the angles and lengths of the given triangle, giving the lengths to three decimal places and angles to the nearest degree.

- A, ,
- B, ,
- C, ,
- D, ,

**Q5: **

is an isosceles triangle where and . Find the length of giving the answer to one decimal place.

**Q6: **

is an obtuse triangle at , where , , and . Find giving the answer to the nearest minute.

- A
- B
- C
- D
- E

**Q7: **

is an obtuse triangle at , where , , and . Find giving the answer to the nearest minute.

- A
- B
- C
- D
- E

**Q8: **

is a triangle, where , , and . Find the value of , giving the answer in terms of .

- A
- B
- C
- D
- E

**Q9: **

is a triangle where and . Find giving the answer to the nearest whole number.

**Q10: **

A house is 66 meters tall. The angle of elevation from the base of the house to the top of a tower is , and the angle of elevation from the top of the house to the top of the tower is . Find the height of the tower giving the answer to the nearest meter.

- A181 m
- B147 m
- C81 m
- D233 m

**Q11: **

The figure shows three peaks in a mountain range , , forming a triangle. The distance between and is 24.7 km, the angle at is and the angle at is . Find the area of the triangle giving the answer to two decimal places.

**Q12: **

is a triangle where , and . Find the length of giving the answer to two decimal places.