1. ## Bearing Questions

I need some help with a few trigonometry bearing questions.

Book Instructions: Work each problem. In these exercises, assume the course of a plane or ship is on the indicated bearing.

1)

A plane flies 1.3 hr at 100 mph on a bearing of 38 degrees. It then turns and flies 1.5 hr at the same speed on a bearing of 128 degrees. How far is the plane from its starting point?

2)

The bearing from Winston-Salem, North Carolina, to Danville, Virginia, is N 42 degrees E. The bearing from Danville to Goldsboro, North Carolina, is S 48 degrees E. A car driven by Mark Ferrari, traveling at 65 mph, takes 1.1 hr to go from Winston-Salem to Danville and 1.8 hr to go from Danville to Goldsboro. Find the distance from Winston-Salem to Goldsboro?

Thanks so much for your help!

2. Originally Posted by The Masked Trumpet
I need some help with a few trigonometry bearing questions.

Book Instructions: Work each problem. In these exercises, assume the course of a plane or ship is on the indicated bearing.

1)

A plane flies 1.3 hr at 100 mph on a bearing of 38 degrees. It then turns and flies 1.5 hr at the same speed on a bearing of 128 degrees. How far is the plane from its starting point?

calculate the distances, make a sketch of the resulting right triangle (why is it a right triangle?), and use Pythagoras to find the final distance.

2)

The bearing from Winston-Salem, North Carolina, to Danville, Virginia, is N 42 degrees E. The bearing from Danville to Goldsboro, North Carolina, is S 48 degrees E. A car driven by Mark Ferrari, traveling at 65 mph, takes 1.1 hr to go from Winston-Salem to Danville and 1.8 hr to go from Danville to Goldsboro. Find the distance from Winston-Salem to Goldsboro?

same as above, right triangle and all ...
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