- #1
Masrat_A
Homework Statement
A pilot flies a plane from A to B, 400 miles due North of A. If a Westward wind of ##20 mph## is present, determine the direction the pilot needs to aim the plane relative to the air and the speed at which he needs to fly the plane in order to arrive at B in two hours.
Homework Equations
See below.
The Attempt at a Solution
Could anyone check my work, please, and point out any possible mistakes?
Diagram: http://imgur.com/a/3F3Jr
a) Speed
##400 (AB) + 40 (BC) - 40 = 400 m (AB)##
##AB = 400 m##
## | BC | = 2*40 = 40 m##
##BC = 40 m##
##d = | AC | = \sqrt {400^2+40^2}##
##d = 402 h##
##402 m/2 h = 201mi/h##
b) Degree
## sin \theta = BC/AC##
##\theta = sin^{-1}(BC/AC)##
##sin^{-1}(BC/AC) = sin^{-1}(40/402)##
##sin^{-1}(40/402) = 6^\circ##