Algebra II
posted by Arielle .
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.

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.
Respond to this Question
Similar Questions

Trig
An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed and … 
Physics
A small aircraft has a flying speed of 200 km/h in still air. To make a trip from Saskatoon to Regina, a straight line distance on the map of 250 km, a pilot must first determine the wind velocity and then calculate what direction … 
algebra
A pilot heading his polane due north finds the actual direction of travel to be 5.2 NE. The planes's air speed is 315 mi/h, and the wind is from die west. Find the plane's ground speed and the velocity of the wind. 
Algebra II
A plane is headed due west with an air speed of 212 km/h. It it driven from its course by a wind from due north blowing at 23.6 km/h. Find ground speed of the plane and the actual direction of travel. 
Math
In still air a plane has air speed 300km/h and flies on a bearing of 110 degrees. If the wind is blowing at a speed of 100km/h from a bearing of 60 degrees, find the actual velocity of the plane. 
calc 3
The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 40 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) … 
precalc
1. A plane is headed at 122 degrees with an air speed of 350mph in a wind that is blowing from 38 degrees. Find the ground speed of the plane and the speed of the wind if the actual flight was at 133 degrees. 2. A plane is heading … 
physics
what air speed and heading would enable a plane to travel [NE] with a ground speed of 275 km/h if there is a wind blowing at 55 km/h from the south? 
science
Paul threw a paper plane towards the west. The wind however caused the plane to move in a southwestern direction Which statement best describes the direction of the wind? 
Physics
The captain of a plane wishes to proceed due west. The cruising speed of the plane is 255 m/s relative to the air. A weather report indicates that a 39.0m/s wind is blowing from the south to the north. In what direction, measured …