14) The horizontal distance when the plane is at 500 ft. is 2358.5 ft.
15) The length of the wire is 44.7 ft.
Explanation:
14) Let the horizontal distance be 'd'
the height of the plane = 500 ft.
Angle of elevation= 12°
tan 12° = 500/d
d = 500/tan12°
d = 500/0.212
d = 2358.5 foot
The horizontal distance when the plane is at 500 ft. is 2358.5 ft.
15) Let the length of the wire be 'n'
The height of the pole = 30ft.
Angle formed between pole and wire = 48°
Cos 48° = 30/n
n = 30/cos 48°
n = 30/ 0.67
n = 44.7 ft.
The length of the wire is 44.7 ft.