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3 years ago

The bearing of lines A and B are 16Â° 10` and 332Â° 18`, the value of the included angle BOA is:_______

Physics

1 answer:

slega [8]3 years ago

3 0

Answer:

D. 43Â° 52`

Explanation:

A bearing is an angle, measured clockwise from the north direction. When solving a bearing problem, it is good to represent the bearings in the given question with diagram.

The diagrammatically representation of the bearing of lines A and B, 16Â° 10` and 332Â° 18` respectively given in the question is shown in the figure attached.

At Point A, we will calculate angle ∠BAO.

Calculating the angle ∠BAO

∠BAO = 90° - 16Â° 10`

= 73Â° 50`

At Point B, we will calculate angle ∠ABO.

Calculating the angle ∠ABO

∠ABO = 332Â° 18` - 270Â° 0`

= 62Â° 18`

At Point O, we will calculate the include angle ∠BOA.

Calculating the angle ∠BOA

∠BAO + ∠ABO + ∠BOA = 180° (sum of angles in a triangle)

73Â° 50` + 62Â° 18` + ∠BOA = 180°

136Â° 8` + ∠BOA = 180°

∠BOA = 180° - 136Â° 8`

∠BOA = 43Â° 52`

The value of the included angle BOA is 43Â° 52

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