To approximate the length of a marsh, a surveyor walks x = 450 meters from point

Question

To approximate the length of a marsh, a surveyor walks x = 450 meters from point A to point B, then turns 75 degree and walks 220 meters to point C. Approximate the length AC of the marsh. (Round answer to 1 decimal place) An airplane is flying in the direction of 148 degree with an air speed of u = 910 Kilometers per hour. Because of the wind, its groundspeed and direction are v = 820 kilometers per hour and 140 degree, respectively. Find the direction and speed of wind. (Round to 1 decimal place) Speed ___ Km/h direction N ___ degree E

Explanation / Answer

18) applying law of cosines

let length of AC = l

l = sqrt ( 220^2 + 450^2 - 2*220 * 450 cos 75 )

l = sqrt ( 250900 - 51246.1709)

l = 446.8

so , length of AC = 446.8 metres

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