ZJSG09112007
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The bearing of a house from point A is 319° . From a point B , 317m due east of A , the bearing of the house is 288° , How far is the house from A ?.

Please show workings and a diagram.​

Respuesta :

mhanifa

Answer:

  • 190.2 m

Step-by-step explanation:

Refer to diagram in the attachment (not drawn to scale)

A and B are mentioned points and H is the home location.

Bearing on AH is 319°, the angle between horizontal line and AH is:

  • 319° - 270° = 49°

Bearing on ABH is 288°, the angle between horizontal line and BH is:

  • 288° - 270° = 18°

The 49° is the exterior angle, so the angle H is:

  • 49° - 18° = 31°

Use the law of sines to find x, the distance AH:

  • x/sin 18° = 317/sin 31°
  • x = 317 sin18° / sin 31°
  • x = 190.2 m (rounded)
Ver imagen mhanifa

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