markusblazer
23.10.2020 •
Mathematics
Write the equation of the line that goes through (-2,4) and (2,8)
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Ответ:
In order for the airplane to maintain a heading of 65° west of north, it actually heads at (65° +x) west of north at a speed of 750 km/h, to compensate for the wind blowing from west t east at 60 km/h.
The actual speed of the airplane relative to the ground is V km/h.
From geometry, obtain the triangle shown.
The speed of 750 km/h is opposite an angle of 155°, and the unknown angle x is opposite the wind speed of 60 km/h.
From the Law of Sines, obtain
The heading that the pilot should take is 65 + 1.937 = 66.94° west of north.
The third angle of the triangle is 180 - (155 + 1.937) = 23.063°.
Use the Law of Sines to calculate V.
The pilot heads approximately 67° (nearest integer) west of north.
The speed of the airplane relative to ground is 695.2 km/h (nearest tenth)