# 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.