A plane leaves Seattle, flies 85 miles at 30o north of east, and then changes direction to 45o south of east. After flying 115 miles in this new direction, the pilot must make an emergency landing in a field. The Seattle airport dispatches a rescue crew. a) In what direction and how far should the crew fly to go directly to the field

Question

Sharon Avery

Business

30 December, 01:38

A plane leaves Seattle, flies 85 miles at 30o north of east, and then changes direction to 45o south of east. After flying 115 miles in this new direction, the pilot must make an emergency landing in a field. The Seattle airport dispatches a rescue crew. a) In what direction and how far should the crew fly to go directly to the field

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Answers (1)

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Buttercup · Answer 1

38 degrees South of East

Explanation:

X = 85cos30 + 115cos45 = 154.93

Y = 85sin30 + 115sin45 = 123.82

Tan A = y/x

tan A = 123.82/154.93

tan A = 0.7992

tan A = 38.63 degrees South of East.

The Seattle airport rescue crew team should fly 38.63 degrees South of East to get directly to the field.