Our garage mechanic is flying from St. Hubert to Québec City in a Cessna. His Cessna flies at an air-speed of 170.0 km/hr. To make it easy he decides to fly along Route 30 from St. Hubert, which is straight North out of St Hubert. (In the old days the CPR railway across Western Canada was referred to by bush-pilots as the "Iron Compass". As a non-counting trivia question, why?). However, to follow along highway 30 he finds that he must point his plane in the direction 4.5 degrees West of North. By following the highway markers he finds that he is actually travelling North at 190.0 km/hr. Being a clever person (he recently got an "A" in physics 101 but decided to go into garage mechanics instead of medicine) he quickly calculates the wind-speed to be (answer below in kilometers per hour). a) What is the wind speed he calculated? b) What is the direction of the wind? Give the direction in degrees relative to North; positive for East, negative for West

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Chapter1: Units, Trigonometry. And Vectors
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Our garage mechanic is flying from St. Hubert to Québec City in a Cessna. His Cessna flies at an air-speed of 170.0 km/hr. To make it easy he decides to fly along Route 30 from St. Hubert, which is straight North out of St Hubert. (In the old days the CPR railway across Western Canada was referred to by bush-pilots as the "Iron Compass". As a non-counting trivia question, why?).

However, to follow along highway 30 he finds that he must point his plane in the direction 4.5 degrees West of North. By following the highway markers he finds that he is actually travelling North at 190.0 km/hr. Being a clever person (he recently got an "A" in physics 101 but decided to go into garage mechanics instead of medicine) he quickly calculates the wind-speed to be (answer below in kilometers per hour).

a) What is the wind speed he calculated?

b) What is the direction of the wind? Give the direction in degrees relative to North; positive for East, negative for West

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