- #1
Hemingway
- 42
- 0
Homework Statement
Two medical field teams set out for a reconnaissance mission and lose one another. The GPS at their original camp shows the location of the first medical team as 43 km away, 15° north of west. The second medical team strayed 32 km away, 33° east of north from base camp.
When the first team uses its emergency GPS to check the position of the second team, what does it give for the second team's (a) distance from them and (b) direction, measured from due east?
Homework Equations
Rx = ax + bx
Ry = ay + by
a2 + b2 = c2
tan -1 = opp/adj
The Attempt at a Solution
ax = cos 15° x 43km
= -41.53km
ay = sin 15° x 43km
= 11.13km
bx = sin 33° x 32km
=17.42
by = cos 33° x 32km
= 26.83
Rx = ax + bx
= -41.53km + 17.42km
= - 24.11km
(or if we take positive direction of x the other way)
= +24.11km
Ry = ay +by
= 11.13km + 26.83km
= 37.96km
Rx2 + Ry2 = Rhypotenuse
= [tex]\sqrt{}-24.112 + 37.962[/tex]
= [tex]\sqrt{}2022.3[/tex]
= 44.97km
tan-1 = opp/adj
= 57.6°
both answers were wrong. I cannot see what little mistake I am making