Saturday

December 20, 2014

December 20, 2014

Posted by **mikee** on Friday, January 4, 2013 at 8:54am.

angle of 20" with the heading. If his airspeed is 100 mi/h, what is his groundspeed and what is the speed of the wind?

- trigonometry math -
**Reiny**, Friday, January 4, 2013 at 9:05amMake a sketch

His compass direction is your horizontal line with length of 100

At the end draw a vertical line upwards, (the wind direction from the south), label it y

draw in your hypotenuse h , his/hers actual course .

the angle is 20°

for speed of wind

tan 20° = y/100

y = 100tan20 = appr 36.4 mi/h

for groundspeed

cos20 = 100/h

h = 100/cos20 = appr 106.4 mi/h

check:

100^2 + 36.4^2 = 11324.96

106.4^2 = 11320.7

close enough using my rounded answer

**Answer this Question**

**Related Questions**

science - An airplane pilot sets a compass course due west and maintains an ...

Physics - A pilot maintains a heading due west with an air speed of 24o km/h. ...

Physics - An airplane pilot sets a compass course due west and maintains an ...

Math - An airplane is flying due west at a velocity of 100 m/s. The wind is ...

pre calc - The velocity of an aiplane heading east at 400 knots and a wind ...

Physics/Math - After flying for 15 min in a wind blowing 42 km/h at an angle of ...

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

Precalculus - An airplane is flying due west at a velocity of 100 m/s. The wind ...

South America - an aeroplane flies horizontally at 80m/s in still air if the ...

physics - A jetliner can fly 5.57 hours on a full load of fuel. Without any wind...