Designated 71874

The patrol had started at a designated marching angle (an azimuth) of 13°. After 9 km, the azimuth's angle changed to 62°. The patrol went 10 km in this direction. Find the distance from where the patrol started.

Correct answer:

d =  17.2942 km

Step-by-step explanation:

α=13  a=9 km β=62  b=10 km  x1=a sinα=a sin13° =9 sin13° =9 0.224951=2.02456 km y1=a cosα=a cos13° =9 cos13° =9 0.97437=8.76933 km  x2=b sinβ=b sin62° =10 sin62° =10 0.882948=8.82948 km y2=b cosβ=b cos62° =10 cos62° =10 0.469472=4.69472 km  x=x1+x2=2.0246+8.829510.854 km y=y1+y2=8.7693+4.694713.464 km  d=x2+y2=10.8542+13.4642=17.2942 km

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