a plane flies 1.5 hours at 110 mph on a bearing of 40°, it then turns and flies 1.3 hours at the same speed on a bearing of 130°

Question

masha68 [24]

3 years ago

14

a plane flies 1.5 hours at 110 mph on a bearing of 40°, it then turns and flies 1.3 hours at the same speed on a bearing of 130°

. how far is the plane from its starting point?

Mathematics

1 answer:

Triss [41] · Answer 1 · 2022-01-16T16:20:40+03:00

<span>Final X value = [(cos 40)*(110m/h *1.5h)] + [(cos 130)*(110m/h*1.8h)] = (126.397 - 127.271)m = -.0873 mile.

Final Y value = [(sin 40)*(110m/h*1.5h)] + [(sin 130)*(110m/h*1.8h)] = (106.059) + 151.677)m = 257.736 Mile

Distance from starting point = .873m] / [sin (arc tan .873/257.736)] = 257.737 miles</span>