ATAR Notes: Forum
HSC Stuff => HSC Maths Stuff => HSC Subjects + Help => HSC Standard Mathematics => Topic started by: Poojapriya on August 28, 2019, 10:15:58 pm
-
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)?
-
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