Posted by Dakota S on Sunday, September 12, 2010 at 9:08pm.
The pilot of a small plane finds that the airport where he intended to land is fogged in. He flies 55 miles west to another airport to find that conditions there are too icy for him to land. He flies 25 miles at 15 degrees east of south and is finally able to land at the third airport. (a) how far and in what direction must he fly the next day to go directly to his original destination? (b) how many extra miles beyond his original flight plan has he flown?

Physics  drwls, Monday, September 13, 2010 at 1:38am
(a) Add the vectors of his 55 mile and 25 miles flights. The reverse of that vector is the direction and distance he must fly the next day.
(b) Add the magnitudes of the three flight vectors in the previous question.

Physics  Henry, Monday, September 13, 2010 at 2:41am
15 deg. E of S = 285 deg CCW from 0 deg
X = HOR = 25cos(285)  55 = 48.5,
Y = VER = 25sin(285) = 24.15,
tanA = Y/X = 24.15/48.5 = 0.4979,
A = 26.47 deg. = 206.47 deg.(3rd quad.)
d = Y/sinA = 24.15/sin(206.5)=54.18mi
d = 54.18 mi @ 206.47 deg.
a. 54.18 mi N @ 63.5 deg W of South
Location: 3rd QUADRANT.
B. D = 2 * 54.18 = 108.36 MILES
Answer This Question
Related Questions
 math  A plane is 11.9 miles off the ground as it makes its descent to land at ...
 Trig  A plane is 48 miles west and 49 miles north of an airport. The pilot ...
 trigonometry  A plane flies due south from an airport for 92 miles, and then ...
 Math  A plane flies due east for 120 km from airport a to airport b it then ...
 trig  A plane is flying at an elevation of 30000 feet. It is within sight of ...
 Pre Cal  An airplane leaves an airport and flies due west 150 miles and then ...
 Math  A plane is flying at an altitude of 12,000 feet and is preparing to land ...
 Math  An airplane leaves the airport and flies due west 170 miles and then 240 ...
 trig  an airplane leaves the airport and flies due west 150 miles and then 240 ...
 Math/Trig  An airplane leaves an airport and flies due west 150 miles and then ...
More Related Questions