Question

A plane is headed in direction 58 with an airspeed of 150 mph. The course is 72 with a ground speed of 130 mph.

Find the speed of the wind.


A. 39mph

B.117 mph

C. 278mp

2. Find the direction the wind is blowing.
A.14
B.54
C.184

Answer 1

a) speed of wind = 39.48 mph

b) direction of wind = 185.2 dgree

Explanation:

Given data:

sir speed is 150 mph

angle of course with ground is 72

ground speed is 130 mph

angle of plane = 58

angle between the angle of plane and course angle is
`= 72^o - 58^o = 14^o`

from cosine formula speed of wind can be calculate as

`c^2 = 150^2 + 30^2 - 2* (150)(130) cos 14`

`c^2 = 1558.47`

c = 39.48

angle of wind can be calculate by using sin rule

`(39.48)/(sin 14) = (130)/(sin \theta)`

solving for theta

`\theta = 52.81^o`

the direction of wind
`= 180+58-52.81 = 185.2^o`