**Q1: **

Find the value of giving the answer in radians to two decimal places.

**Q2: **

A builder leans a 5-foot plank of wood against a vertical wall. If one end of the plank is 3 feet from the bottom of the wall, what is the angle between the plank and the wall?

**Q3: **

The base of a truck is 2 feet off the ground and a 20-foot ramp is used to load the truck. Find the angle the ramp makes with the horizontal ground.

**Q4: **

In the given figure, has been extended to the point such that and are perpendicular.

Work out the value of to 4 decimal places.

Work out the value of to 4 decimal places.

Work out the length of to 2 decimal places.

Work out the area of the triangle to 2 decimal places.

**Q5: **

A circle has a radius of 16 cm. A chord is drawn where the central angle is . Find the length of the chord giving the answer to three decimal places.

**Q6: **

In the given figure, and . What is?

- A
- B
- C
- D
- E

**Q7: **

Find the measure of , given is an isosceles trapezium where and giving the answer to the nearest second.

- A
- B
- C
- D

**Q8: **

Find the measure of , given is an isosceles trapezium where and giving the answer to the nearest second.

- A
- B
- C
- D

**Q9: **

In the given figure, , , and .

Calculate the height to 2 decimal places.

Calculate the area of the triangle to 2 decimal places.

**Q10: **

Find given is a right triangle at where point lies on , is perpendicular to , cm, and cm.

- A
- B
- C
- D

**Q11: **

A 33 ft ladder leans against a building such that the angle between the ground and the ladder is . How high does the ladder reach up the side of the building?

**Q12: **

The distance between two villages and is 13 km where is west of . Village is located east of north of and north of west of . Find the distance between and giving the answer to the nearest kilometer.

- A 41 km
- B 8 km
- C 16 km
- D 11 km

**Q13: **

The base of a truck is 2 feet off the ground and a 15-foot ramp is used to load the truck. Find the angle the ramp makes with the horizontal ground.

**Q14: **

, , and are three towns that lie in the same horizontal plane. lies 38 km southwest of . lies east of north of and lies east of north of . Find the length of giving the answer to the nearest kilometre.

**Q15: **

In the given figure, and . What is ?

- A
- B
- C
- D
- E

**Q16: **

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

- A 26.70 cm
- B 4.92 cm
- C 13.16 cm
- D 10.95 cm

**Q17: **

Find the value of given is a right triangle at , , and .

- A
- B
- C
- D

**Q18: **

In the given figure, , , and .

Calculate the height to 2 decimal places.

Calculate the area of the triangle to 2 decimal places.

**Q19: **

In the given figure, , , and . Work out the height of the triangle to 2 decimal places.

**Q20: **

Find , given is a right triangle at where and .

- A
- B
- C
- D

**Q21: **

A mountain has a uniform incline of . If a person walks 127 meters to the peak of the mountain, how tall is the mountain? Give the answer to the nearest meter.

- A 112 m
- B 68 m
- C 239 m
- D 60 m
- E 271 m

**Q22: **

What is the value of in the given triangle?

- A
- B
- C
- D
- E

**Q23: **

Find the area of the triangle given and . Give the answer to two decimal places.

- A
210 cm
^{2} - B
369.32 cm
^{2} - C
100 cm
^{2} - D
184.66 cm
^{2}

**Q24: **

Find giving the answer to the nearest second.

- A
- B
- C
- D

**Q25: **

Find giving the answer to the nearest second.

- A
- B
- C
- D