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N° 14: Un avión vuela desde el campo base al lago A, a 280 k

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Caro Masmela

on 19 November 2014

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Transcript of N° 14: Un avión vuela desde el campo base al lago A, a 280 k

solucion
Ax = AcosƟ Ay = AsenƟ
Ax = 280 km (cos20°) Ay = 280 km (sen20°) Ax = 263.11 km Ay = 95.76 km

Bx = BsenƟ By = BcosƟ
Bx = 190 km (sen30°) By = 190 km (cos30°)
Bx = 95 km By = 164.54 km

solucion
Rx = Ax + Bx Ry = Ay + By
Rx = 263.11 km + 95 km Ry = 95.76 km + 164.54 km
Rx = 358.11 km Ry = 260.3 km

Rt = √((Rx)2 + (Ry)2 )
Rt = √((358.11)2 + (260.3)2 )
Rt = √(128.242 + 67.756 )
Rt = √195998
Rt = 442.71 km

REPRESENTACION GRAFICA
Conclusion
VECTORES
LAS FORMULAS
las formas que vamos a utilizar para la solución del problema son:

Ax = AcosƟ
Bx = BsenƟ
Rx = Ax + Bx
Ay = AsenƟ
By = BcosƟ
Ry = Ay + By
Rt = √(Rx + Ry )

Un avión vuela desde el campo base al lago A, a 280 km de distancia en la dirección 20.0° al noreste. Después de soltar suministros vuela al lago B, que está a 190 km a 30.0° al noroeste del lago A. Determine gráficamente la distancia y dirección desde el lago B al campo base.