Photography: Width of the field of view?

The angle of view for a 300 mm telephoto lens is 8 degrees. At 1,250 ft, what is the approximate width of the field of view? Use an arc length to approximate the chord length to the nearest foot.

Given measurements: 2.5 degrees = 1000mm, 8 degrees = 300mm, 23 degrees=105mm, 47 degrees=50mm, 75 degrees=28mm, 180 degrees=Fisheye.

We tried all things? How do you go about getting the answer to this? (the ans is 175 ft).

Update:

Bryce, thank you for answering. However, we are at the beginning of the book, in which we are not using trig functions yet. How did you derive at Tan 4 degrees?

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