Aplane travels 25 km at an angle of 35 degrees to the ground, then changes direction and travels 515 km at an angle of 22 degrees to the ground. what is the magnitude and direction of the plane’s total displacement?

  539.4 km ∠22.6°

Step-by-step explanation:

The sum of the two vectors is easily calculated by a suitable calculator. Most graphing calculators and many scientific calculators will add vectors specified in magnitude and angle form. (see attached)

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Alternate calculation

  25(cos(35°), sin(35°)) +515(cos(22°), sin(22°))

  ≈ (20.479 +477.500, 14.339 +192.922)

  = (497.978, 207.261)

The magnitude of this is ...

  √(497.978^2 +207.261^2) ≈ 539.389

and the angle is ...

  arctan(207.261/497.978) ≈ 22.597°

The total displacement is about 539.4 km at an angle of 22.6° to the ground.

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Comment on the problem

The magnitudes and directions given make no sense. Even if we were to assume a flat Earth, the vertical displacement relative to the starting point is more than 207 km. The Kármán line, at 100 km altitude, is the defining line between the atmosphere and outer space.

Navigation angles are rarely given relative "to the ground." Usually, they are directions measured clockwise from north. Certainly no passenger plane will ever travel at an angle of 35° to the ground. They typically change altitude at angles less than 5° to the horizontal.

yes

step-by-step explanation:

give me the question

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at first, in 1635, the evening meetings had been just for women . .

what relationship between ideas is shown in the text above?

question 1 options:

location of events

similarity of events

timing of events

examples of an idea

step-by-step explanation: