# trig problem tricky

• Jan 8th 2013, 05:11 PM
Tedward570
trig problem tricky
Two cities A and B are 300 miles apart. In flying from A to B, a pilot inadvertently took a course that was 15 degrees in error. The error was discovered after 15 minutes at a constant speed of 400 mph

a. how far is the plane from B?
b. through what angle should the pilot turn to correct the course?
c.what new constant speed should be maintained so that no time is lost due to the error?

A picture is given Triangle ABC is given where side AB= 300 and angle A =15. Any help please!
• Jan 8th 2013, 05:26 PM
topsquark
Re: trig problem tricky
Quote:

Originally Posted by Tedward570
Two cities A and B are 300 miles apart. In flying from A to B, a pilot inadvertently took a course that was 15 degrees in error. The error was discovered after 15 minutes at a constant speed of 400 mph

a. how far is the plane from B?
b. through what angle should the pilot turn to correct the course?
c.what new constant speed should be maintained so that no time is lost due to the error?

A picture is given Triangle ABC is given where side AB= 300 and angle A =15. Any help please!

How far have you been able to get on this?

-Dan
• Jan 8th 2013, 05:40 PM
Tedward570
Re: trig problem tricky
essentially nowhere . i feel one of the sides is 100 miles becajuse 15 min is one quarter of a mile ansd the speed was 400 mph.
• Jan 8th 2013, 07:21 PM
ibdutt
Re: trig problem tricky
Make a beginning by drawing a triangle ABC. Starts at A destination at C. so AC = 300. Flies at an angle of 15 degree that is towards B. angle A = 15 degree or pi/12. AB is distance covered in 15 minutes at 400 kmph that is equal to 100 km. Now you can find the missing information.