stAt 10:15 am, a radar station detects an aircraft at a point 70 miles away and 35 degrees north of due east. At 10:25 am, the aircraft is 100 miles away and 20 degrees south of due east.(a) Using the radar station as the pole and due east as the polar axis, write the two locations of the aircraft in polar coordinates.(b) Write the two locations of the aircraft in rectangular coordinates.(c) What is the speed of the aircraft in miles per hour?KIED(a) The two locations of the aircraft in polar coordinates are(Type an ordered pair. Type the coordinate for in degrees. Do not include the degree symbol in your answer. Use a comma to separate answers as needed)

Answered: Image /qna-images/answer/4a3149d5-1289-483c-b8f4-6c3781948993.jpg

Answered: At 10:15 am, a rader station detects an…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.2: Law Of Cosines

Problem 4ECP

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In polar coordinate system, which of the following does not refer to the point (3, pi/6)? A. (3, 37pi/6) B. (-3, -5pi/6) C. (-3, 19pi/6) D. (3, -7pi/6)
Plot the polar point ( -4, 165° )
What are angular coordinates?
Two planes take off at the same time from an airport. The first plane is flying at 215 miles per hour on a bearing of S 45.0° E. The second plane is flying in the direction S 45.0°W at 260 miles per hour. If there are no wind currents blowing, how far apart are they after 3 hours? What is the bearing of the second plane from the first after 3 hours?
Identify which quadrants in the polar coordinate system the following points lie. 1. (5,9π/7) 2. (-5, 6π/7) 3. (-5,3π/7) 4. (5,-4π/7)
Relate Polar and Cartesian Coordinates?
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A cruise ship maintains a speed of 25 knots (nautical miles per hour) sailing from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan at a direction of 32° off a direct heading to Barbados. The captain maintains the 25-knot speed for 8 hours, after which time the path to Barbados becomes clear of storms. (a) Through what angle should the captain turn to head directly to Barbados? (b) Once the turn is made, how long will it be before the ship reaches Barbados if the same 25-knot speed is maintained? ... (a) The captain should head through an angle of (Do not round until the final answer. Then round to one decimal place as needed.) (b) The time it will take for the ship to reach Barbados is hours. (Do not round until the final answer. Then round to one decimal place as needed.) Barbados 32° San Juan
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Scientists and engineers often use polar equations to model the motion of satellites in earth orbit. Let's consider a satellite whose orbit is modeled by the equation r = 22800/(4 − cos(?)), where r is the distance in miles between the satellite and the center of the earth, and ? is the angle shown in the following figure. (a) On the same viewing screen, graph the circle r = 3960 (to represent the earth, which we will assume to be a sphere of radius 3960 mi) and the polar equation of the satellite's orbit.
A pilot sets out from an airport and heads in the direction N 20° E, flying at 200 mph. After one hour, he makes a course correction and heads in the direction N 40° E. Half an hour later, engine trouble forces him to make anemergency landing. Find the distance between the airport and his final landing point.

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