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April 23, 2021, 09:34:08 pm

Author Topic: Trigonometry and bearings question  (Read 1059 times)  Share 

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Poojapriya

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Trigonometry and bearings question
« on: August 28, 2019, 10:15:58 pm »
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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