# Worksheet: Angle between Two Planes

In this worksheet, we will practice finding the measure of an angle between two planes or that between a line and a plane.

**Q1: **

Find, to the nearest second, the measure of the angle between the planes and .

- A
- B
- C
- D

**Q2: **

Find, to the nearest second, the measure of the angle between the planes and .

- A
- B
- C
- D

**Q3: **

Find, to the nearest second, the measure of the angle between the straight line and the normal to the plane .

- A
- B
- C
- D

**Q4: **

Which of the following is the smaller angle between the straight line and the plane ?

- A
- B
- C
- D

**Q5: **

Find, to the nearest second, the measure of the smaller angle between the straight line and the plane .

- A
- B
- C
- D

**Q6: **

If the angle between the two planes and is , find the value of the positive constant .

**Q7: **

Find, to the nearest second, the measure of the angle between the straight line and the plane .

- A
- B
- C
- D
- E

**Q8: **

Find, to the nearest degree, the measure of the angle between the planes and .

**Q9: **

Find, to the nearest degree, the measure of the angle between the planes and .

**Q10: **

If the angle between the plane and the straight line is , find the value of the positive constant given that .

**Q11: **

Find, to the nearest degree, the measure of the angle between the plane and the straight line.