Answer: 14: 44.83 feet. 15: 2352 feet
Explanation:
14:
The length of the wire will be 43.83 feet.
From the information given, the wire is attached from the top of a 30 foot telephone pole to a stake in the ground. if the angle formed by the wire and the pole is 48°.
Therefore, the length of the wire will be:
cos 48° = 30/x
x = 30/cos 48°
x = 44.83
The length is 44.83 feet.
15:
The horizontal distance it has traveled once it has reached an altitude of 500 feet is approximately 2352 feet.
The horizontal distance it travelled is the adjacent side of the triangle formed.
Therefore,
tan 12 = opposite / adjacent
tan 12 = 500 / a
a = 500 / tan 12
a = 500 / 0.2125565616
a = 2352.31573723
a = 2352 feet