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arsen [322]
3 years ago
14

A wind blowing in the direction 0o causes an airplane to drift up 15o from its' original heading of 90o. The ground speed is 336

km/hr. Find the airspeed of the plane
Mathematics
1 answer:
aliina [53]3 years ago
6 0

Answer:

324.6 km/hr

Step-by-step explanation:

Since the plane drifts up 15° from its original heading of 90°, it is at a bearing of 90° - 15° = 75°.

Now, since its ground speed is 336 km/hr, its air speed, v is the horizontal component of its ground speed since the wind is blowing in the 0° direction. So, v = (336 km/hr)sin75°

= 324.55 km/hr

≅ 324.6 km/hr

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For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
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Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

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y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

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3 × d = -1

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y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

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