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Ira Lisetskai [31]
4 years ago
15

A plane takes off from an airport and flies to town A, located d1 = 335 km from the airport in the direction 20.0° north of east

. The plane then flies to town B, located d2 = 245 km at 30.0° west of north from town A. Use graphical methods to determine the distance and direction from town B to the airport. (Enter the distance in km and the direction in degrees south of west.)
Physics
1 answer:
gtnhenbr [62]4 years ago
4 0

Answer:

R = 545.38 m ; θ = 28.43°

Explanation:

given,

for town A : d₁ = 335 km at an direction of 20° north of east

for town B : d₂ = 245 km at  30.0° west of north from town A

x = 335 cos 20° + 245 sin 30°

x = 437.29 m

y = 335 sin 20° + 245 cos 30°

y = 326.75 m

resultant = \sqrt{x^2+y^2}

R =\sqrt{437.29^2+326.75^2}

R = 545.38 m

tan \theta = \dfrac{326.75}{437.29}

θ = 28.43°

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