Question

The taxiways for a small airport, with the runway make a triangle. The runway is 6400 ft long, and one of the

taxiways is 3700 ft long. How long is the other taxiway if the angle between the 6400 ft runway and 3700 ft
taxiway is 69.0° Round your answer to three significant digits.

Answer 1

The length of the other taxiway can be found using the Law of Cosines.

Step-by-step explanation:

The problem can be solved using the Law of Cosines. The length of the other taxiway can be found using the formula:

c^2 = a^2 + b^2 - 2ab * cos(C)

Where:
c is the length of the other taxiway
a is the length of the runway (6400 ft)
b is the length of the given taxiway (3700 ft)
C is the angle between the runway and the given taxiway (69°).

Plugging in the known values, we get:
c^2 = (6400)^2 + (3700)^2 - 2 * 6400 * 3700 * cos(69°)

Solving this equation will give us the length of the other taxiway. Round the answer to three significant digits.

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