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Aliun [14]
2 years ago
15

23. The pilot of a small private plane can look forward and see the control tower for a small airstrip.

Mathematics
1 answer:
Alex73 [517]2 years ago
6 0

Answer:

Altitude of the plane is 0.5 miles.

Step-by-step explanation:

From the figure attached,

An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.

Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.

We have to calculate the airplane's altitude h.

From ΔABF,

tan4.1 = \frac{AB}{BF}=\frac{h}{(x+4.8)}

h = 0.07168(x + 4.8) -----(1)

From ΔABD,

tan13.1 = \frac{h}{x}

h = 0.2327x -----(2)

From equation (1) and (2),

0.07168(x + 4.8) = 0.2327x

0.2327x - 0.07168x = 4.8×0.07168

0.161x = 0.344

x = \frac{0.344}{0.161}=2.14 miles

From equation (2),

h = 0.2327×2.137

h = 0.4972 miles

h ≈ 0.5 miles

Therefore, 0.5 miles is the altitude of the plane.

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Lapatulllka [165]

Answer:

The coordinates of its image after dilation by a scale factor of 2 will be:

  • V'(12, 4)
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  • X'(-6, -10)
  • Y'(6, -10)

Step-by-step explanation:

Given the quadrilateral VWXY

  • V(6, 2)
  • W(-2, 4)
  • X(-3, -5)
  • Y(3, -5)

A dilation by a scale factor of 2 means every coordinate of the original quadrilateral gets multiplied by the scale factor (x2).

<u>Using the formula of dilation by a scale factor of 2</u>

Dilation with scale factor 2, multiply by 2

(x, y) → (2x, 2y)

Thus, the coordinates of its image after a dilation will be:

(x, y)          →           (2x, 2y)

V(6,2)        →         (2(6), 2(2))        =      V'(12, 4)

W(-2, 4)     →         (2(-2), 2(4))       =      W'(-4, 8)

X(-3, -5)     →         (2(-3), 2(-5))      =      X'(-6, -10)

Y(3, -5)      →          (2(3), 2(-5))       =      Y'(6, -10)

Therefore, the coordinates of its image after dilation by a scale factor of 2 will be:

  • V'(12, 4)
  • W'(-4, 8)
  • X'(-6, -10)
  • Y'(6, -10)
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3 years ago
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alexdok [17]

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Answer:

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Step-by-step explanation:

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8 0
1 year ago
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kiruha [24]

Hey there!

\large\boxed{10u^2}

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Image attached.

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Simplify.

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6 0
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