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During the time the Concorde was flying, it could fly from London to New York City, a distance of 3460 miles, in 2 hours and 59 minutes. (IMAGE CAN'T COPY). a. What was the average linear speed of the Concorde in miles per hour during one of these flights? Round to the nearest mile per hour. b. What was the average angular speed of the Concorde in radians per hour during one of these flights? Assume that the Concorde maintains an altitude of 10 miles and that the radius of Earth is 3960 miles. Round to the nearest hundredth of a radian per hour. 0.29 radian per hour c. If the Concorde left London at 1 P.M., what time would it be expected to arrive in New York City? (Hint: New York City is five time zones to the west of London.) \(10: 59 \mathrm{A} . \mathrm{M}\)

Estimate, to the nearest tenth, \(\tan \frac{\pi}{3} .[4.2]\)

A nautical mile is the length of an arc, on the earth's equator, that subtends a \(1^{\prime}\) central angle. The equatorial radius of the earth is about 3960 statute miles. a. Convert 1 nautical mile to statute miles. Round to the nearest hundredth of a statute mile. b. Determine what percent (to the nearest 1 percent) of the earth's circumference is covered by a trip from Los Angeles, California to Honolulu, Hawaii (a distance of 2217 nautical miles).

Use the fundamental trigonometric identities to find the value of the function. Given \(\cos t=\frac{1}{2}, \frac{3 \pi}{2}

Simplify: \(\frac{\pi}{1 / 2}\).