Answer:
3753.20 ft
Step-by-step explanation:
tan 80° = 3400 ft/x
x = 599.51 ft = distance at ground level from point directly below mountain peek to edge of mountain.
599.51 ft + 990 ft = 1589.51 ft = horizontal distance at ground level from where cable is attached to the ground to the center of the mountain. This is a leg of a right triangle.
3400 ft is another leg of a right triangle.
(1589.51 ft)² + (3400 ft)² = y²
The hypotenuse, y, is the length of the cable.
y = 3753.20 ft
