Without the wind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a rate of 50 mph. The wind is blowing at a 45 angle from due east. What is the actual speed of the plane with the wind?

Question

Hillary Davidson

Mathematics

7 March, 05:40

Without the wind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a rate of 50 mph. The wind is blowing at a 45 angle from due east. What is the actual speed of the plane with the wind?

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Answers (1)

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Boston Watson · Answer 1

The actual speed of the plane with the wind:

v² = (150 + 50 · cos 45°) ² + (50 · sin 45°) ²

v² = (150 + 35.355) ² + 35.355²

v² = 34,356.467 + 1,249.976

v = √35,606.452

v = 188.7 mph