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Rudik [331]
2 years ago
10

Practice In the figure, a || 6. What is the value of x?

Mathematics
1 answer:
kenny6666 [7]2 years ago
8 0

Answer:

x = 40

Step-by-step explanation:

3x + 9 = 129 Alternate Exterior Angles Theorem

-9 -9

3x = 120 divide by 3

x = 40

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A person on a runway sees a plane approaching. The angle of elevation from the runway to the plane is 11.1° . The altitude of th
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Answer:

The horizontal distance from the plane to the person on the runway is 20408.16 ft.

Step-by-step explanation:

Consider the figure below,

Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner.  The angle of elevation from the runway to the plane is 11.1°

BC is the horizontal distance from the plane to the person on the runway.

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Using trigonometric ratio,

\tan\theta=\frac{Perpendicular}{base}

Here, \theta=11.1^{\circ} ,Perpendicular AB = 4000

\tan\theta=\frac{AB}{BC}

\tan 11.1^{\circ} =\frac{4000}{BC}

Solving for BC, we get,

BC=\frac{4000}{\tan 11.1^{\circ} }

BC=\frac{4000}{0.196} (approx)

BC=20408.16(approx)  

Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft

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Step-by-step explanation:

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