Answer:
3854ft
Step-by-step explanation:
By assuming that the cable is not doubled.
in order to find the length of the base of the mountain
tan74°=3400/x
x= 3400/tan74°
x≈ 975ft
Therefore, the length of the cable equals to
=
length≈ 3854ft
Thus, the shortest length of cable needed is 3854ft
A=1
Here is a picture. Please notify me if I made an error!
cos(-240°) = cos 120°; the "adjacent sides" and the "hypotenuses" are the same in both cases. The supplement of 120° is 60°, and 60° is a positive acute angle. Since cos(-240°) is negative, we need to write
cos(-240°) = -cos(60°).
Check: cos(60°)= 1/2, so - cos(60°) = -1/2, which is the value of cos(-240°).
3/(x-3)=x/(x-3)-3/2
6/2(x-3)=2x/2(x-3)-3(x-3)/2(x-3)
6=2x-3(x-3)
6=2x-3x+9
x=3
x=3 makes the denominator x-3 a zero, so the solution is extraneous,