College

The length of the cable from the bottom (point 8) to the top (point 7) is 130 meters. The angle of elevation from the bottom (B) to the top (T) is 37.1 degrees.

Calculate the change in altitude, in meters, from the bottom to the top.

Answer :

Final answer:

To calculate the change in altitude from the bottom to the top, we can use trigonometry and the given values. The change in altitude is approximately 78.69 metres.


Explanation:

To find the change in altitude from the bottom to the top, we can use trigonometry. The angle of elevation of T from B is 37.1. We know the length of the cable from the bottom to the top is 130 metres. Using the sine function, we can calculate the change in altitude as follows:

Change in altitude = Cable length * sin(angle of elevation)

Change in altitude = 130 * sin(37.1) ≈ 78.69 metres


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