Posted by **Arielle** on Wednesday, November 2, 2011 at 12:54pm.

The heading of a plane is 27.7 degrees NE, and its air speed is 255 mi.h. If the wind is blowing from the south with a velocity of 42.0 mi/h, find the actual direction of travel of the plane, and its ground speed.

- Algebra II -
**Henry**, Friday, November 4, 2011 at 6:48pm
V = Vp + Vw,

V = 255mi/h @ 27.7deg + 42mi/h @ 90deg.

X=hor. = 255cos27.7 + 42cos90=225.8mi/h

Y = ver. = 255sin27.7 + 42sin90,

Y = ver = 118.53 + 42 = 160.53mi/h

tanA = Y/X = 160.53/225.8= 0.7109.

A = 35.4deg.

V = X / cosA = 225.8 / cos35.4 = 277mi/h @ 35.4deg.

## Answer this Question

## Related Questions

precalc - 1. A plane is headed at 122 degrees with an air speed of 350mph in a ...

Math - In still air a plane has air speed 300km/h and flies on a bearing of 110 ...

algebra - A pilot heading his polane due north finds the actual direction of ...

Physics - A cessna plane flies with a speed of 150km/h relative to the air and ...

physics - what air speed and heading would enable a plane to travel [NE] with a ...

Trig - A plane has a speed of 250mph and flies with a bearing of N35degE. The ...

Trig - An airplane is flying on a compass heading (bearing) of 340 degrees at ...

Trig - This has to do with vectors...I'm wondering if I set up the diagram ...

ccs trigo - A pilot is flying at a heading of 96° at 225 miles per hour wind is ...

Physics - A small aircraft has a flying speed of 200 km/h in still air. To make ...