Friday

January 30, 2015

January 30, 2015

Posted by **kayleigh** on Friday, April 12, 2013 at 1:25pm.

- trig -
**Damon**, Friday, April 12, 2013 at 1:44pmMathematicians should not write navigation problems:

an airplane has an airspeed of 430 miles per hour ***ON*** a ****HEADING**** of 135 degrees. the wind velocity is 35 miles per hour in the direction N30degreesE. Find the resultant speed and direction of the plane.

Usually we say where the wind is FROM but this seems to imply that the air is moving N 30 E . Again mathematicians do not get this stuff.

North speed = 430 cos 135 + 35 cos 30

= -273 mph or 273 south

East speed = 430 sin 135 + 35 sin 30

= 322 mph

total speed = sqrt(273^2+322^2) = 422 mph

angle of travel east of south = A

tan A = 322/273

A = 49.7

so actual direction over ground is

180 - 49.7 = 130.3 degrees East of North

**Answer this Question**

**Related Questions**

Trigonometry - A pilot is flying at 200 miles per hour (airspeed), and wants his...

Math - An airplane has an airspeed of 724 kilometers per hour at a bearing of 30...

Math - An airplane has an airspeed of 724 kilometers per hour at a bearing of 30...

Math- Please Help!! - An airplane has an airspeed of 724 kilometers per hour at...

Math - A fishing boat leaves port at 11 miles per hour at a bearing of 210 ...

geometry - For problems 7 and 8, find the magnitude and direction angle of the ...

trigo - An airplane travels on a bearing of 245 degrees at an airspeed of 200 ...

Math Technology - A pilot is flying to a destination 700 miles away at a bearing...

Pre-Cal - An airplane's velocity with respect to the air is 580 miles per hour, ...

Math - An airplane's velocity with respect to the air is 580 miles per hour, and...