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dsp73
3 years ago
10

Flying to Kampala with a tailwind a plane averaged 158km per hr ... The the return trip the plane only averaged 112 km per . . w

hile flying back into the same wind. Find the speed of the wind and the speed of the plain in still air. Yo ik the answer is 23 kmph but how
Mathematics
1 answer:
AURORKA [14]3 years ago
6 0
W=wind
p + w=158...p=158-w
p-w=112...p=112+w
SO 158-w=112+w
46=2w
23=w
SO in conclusion you have the correct answer of wind being 23km/h while the plane is going 135 km/h

HOPE THIS HELPS!
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Answer:

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anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

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We need to begin with the definition of tangent:

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So we can replace into our formula and we got:

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We have the following identities useful for this case:

sin(a-b) = sin(a) cos(b) - sin(b) cos(a)

cos(a-b) = cos(a) cos(b) + sin (a) sin(b)

If we apply the identities into our equation (1) we got:

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Now we can divide the numerator and denominato from expression (2) by \frac{1}{cos(x) cos(y)} and we got this:

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And simplifying we got:

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(x-y) \neq \frac{\pi}{2} +n\pi

8 0
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