Answer: 
Step-by-step explanation:
Given
inclination is 
Mountain is
high
Cable is tied
from the base of the mountain
From the figure, length of the shortest path is 
It is given by using Pythagoras theorem

Cosecant = hypotenuse / opposite side ( that is 1 / sine)
csc C = AC / 8
AC = sqrt (6^2 + 8^2) = sqrt 100 = 10
so cosecant of C is 10/8 = 1.25
180
180- 40=140
140 / 2= 70