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9.11 Angle between a line and a plane

Worksheet
Angle between two lines
1

Find the angle, \theta, between the following lines.

a

A line with an angle of inclination 28 \degree and a line with an angle of inclination 79 \degree.

b

A line with an angle of inclination 35 \degree and a line with an angle of inclination 167 \degree.

Angle between a line and a plane
2

Find the angle, correct to one decimal place, between the plane AOCB at the base of the prism, and the following lines:

a
AF
b
AG
c
BD
3

Find the angle, correct to one decimal place, between the plane AOCB at the base of the prism, and the following lines:

a
AE
b
CF
c
MD
4

Consider the following square pyramid where M is the midpoint of BC:

Find the angle, correct to one decimal place, between the plane AOCB at the base of the pyramid, and the following lines:

a
AD
b
MD
Application
5

In a circus, a wire, A, is attached to the top of a 30\text{ ft} pole. Wire B is used for performers to walk up to the tight wire, 10 \text{ ft} above the ground. The wires are attached 40 \text{ ft} from the pole.

Find the angle \theta between the wires. Round your answer to two decimal places.

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