Todd's friend Olivia is flying her stunt plane at an elevation of 6.3 km. From the ground, Todd sees the plane moving directly toward him from the west at a 49° angle of elevation. Three minutes later he turns and sees the plane moving away from him to the east at a 65° angle of elevation. How fast is Olivia flying in kilometers per hour?

Question

anonymous · Answer

the answer is 415!

anonymous · Answer

how!??!?! hahah
ty !

anonymous · Answer

49 = d1 over 6.3 -> d1 = 6.3 tan 49 ≈ 7.25 km

anonymous · Answer

tan 65 = d2 over 6.3 -> d2 = 6.3 tan 65 ≈ 13.5 km

anonymous · Answer

Speed = Distance over Time ≈ 7.25 + 13.5 over  0.05 ≈ 415 km/hr