In this worksheet, we will practice calculating the distance between a point and a straight line or between a point and a plane using a formula for each distance.

**Q1: **

Find, to one decimal place, the perpendicular distance from point to the line on points and .

**Q2: **

Find the distance from the point to the plane . Give the result correct to three decimal places.

**Q4: **

Find the distance between the point and the plane .

- A length unit
- B length units
- C length units
- D length units

**Q5: **

Find the distance between the two planes and .

- A length unit
- B length unit
- C length unit
- D length units

**Q6: **

Find the distance from the point to the plane : , giving your answer to two decimal places.

**Q7: **

Find, correct to two decimal places, the distance from the point to the line .

**Q8: **

Find, correct to two decimal places, the distance from the point to the line .

**Q9: **

Find the length of the perpendicular from the point to the straight line .

- A
- B
- C
- D

**Q10: **

Find the length of the perpendicular from the origin to the straight line .

- A
- B
- C
- D

**Q11: **

How far from the -plane is the point ?

**Q12: **

Find the distance between the point and the plane .

- A length units
- B length units
- C17 length units
- D length units

**Q13: **

Find, to one decimal place, the perpendicular distance from point to the line on points and .

**Q14: **

Find, to one decimal place, the perpendicular distance from point to the line on points and .

**Q15: **

Find the distance between the point and the plane .

- A length units
- B length units
- C length units
- D length units

**Q16: **

Find the distance between the point and the plane .

- A length units
- B length units
- C length units
- D length units