Answer:
The new angle is ( θn ) = 13.2°
Explanation:
Solution:-
- Draw a right angle triangle, using a guy wire of length L = 45 ft, draw the hypotenuse between two legs.
- Denote the height "h" from which the wire is attached to the tower and denote base "b" as the distance from the foot of the tower and pole.
- The angle between the guy wire with length L = 45 ft and the ground is θ = 32°.
- Use appropriate trigonometric ratio relation to determine the height "h" at which the guy is attached to support tower:
sin ( θ ) = h / L
h = L*sin ( θ )
h = 45*sin ( 32 )
h =23.84636 ft
- Another guy wire of length Ln = 100 ft is used instead of previous guy wire of length L = 45 ft. The height "h" at which the guy is attached to support tower is to be kept constant.
- Again, using the appropriate trigonometric ratio relation to determine the new angle ( θn ) between the wire and ground:
sin ( θn ) = h / Ln
sin ( θn ) = 23.84636 / 100
( θn ) = arc sin [ 0.23846]
( θn ) = 13.2°