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sveticcg [70]
3 years ago
6

A particular airport has beacons on the ground 6 km out from the start of each runway. An airplane is directly over this beacon

and is at an angle of elevation from the runway of 8°. Calculate the direct line distance from the airplane to the start of the runway
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

6.06 km

Step-by-step explanation:

The information given in the question can be represented by the three sides if a right angled triangle.

Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;

Cos θ = \frac{adjacent}{hypotenuse}

Cos 8^{o}  = \frac{6}{x}

0.9903 = \frac{6}{x}

⇒ x = \frac{6}{0.9903}

      = 6.0588

x = 6.06 km

The direct line from the airplane to the stat of the runway is 6.06 km.

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