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April 23, 2021, 09:34:08 pm

### AuthorTopic: Trigonometry and bearings question  (Read 1059 times) Tweet Share

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#### Poojapriya

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##### Trigonometry and bearings question
« on: August 28, 2019, 10:15:58 pm »
0
A light aeroplane is flown from a farm airstrip to a city runway that is 135 km away. The city runway is due north from the farm airstrip. To avoid a storm, the pilot flies the aeroplane on a bearing of 310° for 50 km, and then due north for 45 km. The pilot then heads directly to the city runway. Round your answers to two decimal places in the following.

a Find how far west the aeroplane diverged from the direct line between the farm airstrip and the city runway.

b Find how far south the aeroplane was from the city runway before heading directly to the city runway on the final leg of the flight.

c Find the bearing the aeroplane was flying on when it flew on the final leg of the flight.

Can I please get a diagram explaining this question and steps required to solve this question (especially part c)?

#### calliope

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##### Re: Trigonometry and bearings question
« Reply #1 on: August 29, 2019, 12:12:37 am »
+1
West1=50sin(50)
North1=50cos(50), North2=45, North3=?
North1+North2+North3=135
North3=135-North1-North2
bearing angle of final leg of flight is tan(b)=North3/West1
See diagram attached and good luck