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------------------------------------------------ An aircraft is on approach to an airport and is guided by electronic signals from points A and B at either end of a runway. The angles of elevation from the beacons on the horizontal runway to the aircraft are 30° and 20°, respectively. The length of the runway is 2 kilometers. Calculate the distance from the aircraft (C) to the start of the runway (A).

To calculate the distance from the aircraft (C) to the start of the runway (A), use trigonometry to calculate the heights of the aircraft and the runway, and then subtract the height of the runway from the height of the aircraft.

Explanation:

To calculate the distance from the aircraft (C) to the start of the runway (A), use trigonometry to calculate the heights of the aircraft and the runway, and then subtract the height of the runway from the height of the aircraft.

First, we can calculate the height of the aircraft (BC) using the angle of elevation from point B.
Next, we can calculate the height of the runway (AC) using the angle of elevation from point A.
Finally, we can calculate the distance from the aircraft to the start of the runway (C to A) by subtracting the height of the runway from the height of the aircraft.

Given that the length of the runway is 2 kilometers, we can use these calculations to find the distance from the aircraft to the start of the runway.

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