Answer:
The length of the wire will be 43.83 feet.
The plane has covered 2352.32 feet of horizontal distance.
Explanation:
(8)
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.
(9)
An airplane climbs at an angle of 12 degrees with the ground.
The altitude reached by plane is 500 feet.
A right angles triangle will be formed by the initial position, final position, and the ground. See the attached image.
It is required to find the horizontal distance covered by the plane.
So, the value of horizontal distance covered by the plane will be calculated as,
tan0= h/d
tan12°=500d
d=2352.32ft
Therefore, the plane has covered 2352.32 feet of horizontal distance.