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Sagot :
Answer:
Length of cable = 16.7 m
Distance from ground = 15.4
New angle between pole and cable = 58.5 degrees
Explanation:
The flagpole forms a right-angled triangle with the cable and the ground.
Let the adjacent side be the flagpole, the hypotenuse be the cable and the ground be the opposite side.
hypotenuse = h
adjacent = 6.8 m
distance from ground = d
angle = 66.0
cos 66 = 6.8/h
h = 6.8/cos 66
h = 16.7 m
tan 66 = d /6.8
d = 6.8 * tan 66
d = 15.3 m
If the cable is brought 4.2 m closer to the pole, new distance = 15.3 - 4.2 = 11.1 m
let new angle be x
tan x = 11.1/6.8
x = tan⁻¹ (11.1/6.8)
x = 58.5 degrees
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