# pre-cal

a pilot wants to fly on a bearing of 66.4 degrees. by flying due east, he finds that a 57-mph wind, blowing from the south, puts him on course. Find the airspeed of the plane.

Sketch this. He flys east unknown speed. The plane goes at 66.4, unknown speed. The N vector is 57

Isnt tan theta= airspeed/57= tan66.4 ?

solve for airspeed,
airspeed= 57 tan66.4

1. 👍 0
2. 👎 0
3. 👁 207

## Similar Questions

1. ### Mathematics

A pilot flies a plane that averages approximately 210 km/hr. The plane leaves point A at a bearing of 40 degrees and flies two hours to point B. After a brief stop the plane leaves point B at a bearing of 125 degrees and flies for

2. ### Math Technology

A pilot is flying to a destination 700 miles away at a bearing of 105 degrees. The cruising speed of the plane is 500 mile per hour and the the wind is blowing between 20 and 30 miles per hour at a bearing of 30 degrees. At what

asked by Irma on April 4, 2013
3. ### Math Trig

A plane's flight path called for it to fly from J to W. W is 200kms due North and 500kms due west of J. Draw a coordinate picture. What bearing will the pilot fly and what distance will he or she go in air kilometers?

asked by K on September 7, 2015
4. ### Trigonometry

A pilot is flying at 200 miles per hour (airspeed), and wants his flight path (course or actual direction) to be on a bearing of 237 degrees. A wind is blowing for the north at 40 miles per hour. Find the bearing he should fly,

asked by Monk on December 1, 2010
5. ### math

A planes flight path called for it to fly from J to W. W is 200km due North and 500km West of J. What bearing will the pilot fly and what distance will be traveled in air kilometers. I know to draw and image but that is it.

asked by K on September 4, 2015
6. ### maths

A light air craft takes off flying die north then turns and flies 11 000 metres due west.The plane then has a bearing of 340 degrees from its starting point.For what distance did it fly due north?

asked by Shane on March 6, 2013
7. ### geometry

the pilot of a plane flying 2000 meters above sea level observes two ships in line due east of the plane. the angles of depression of the line of sight of the pilot to the two ships are 42 degrees and 30 degrees. how far apart are

asked by Anonymous on June 3, 2010
8. ### physics

A plane leaves Seattle, flies 77.0 mi at 22.0 degrees north of east, and then changes direction to 50.0 degrees south of east. After flying at 119 mi in this new direction, the pilot must make an emergency landing on a field. The

asked by Lisa on January 30, 2012
9. ### physics

A plane leaves Seattle, flies 85 mi at 22 degrees north of east, and then changes direction to 48 degrees south of east. After flying 115 mi in this new direction, the pilot must make an emergency landing on a field. The Seattle

asked by Jean on September 12, 2012
10. ### Math Analysis (Pre Calc)

A pilot wants to fly 430 miles per hour at 45 degrees north of east, but there is a westerly wind blowing 20 miles per hour. What course correction does the pilot have to make to fly on his desired landing? I wasn't able to figure

asked by Francis on February 11, 2016

More Similar Questions