A pole 75 meters tall is stabilized using 3 guy wires spaced 120 degrees apart around the tower. The guy wires are to be attached to the tower 40 meters up the
tower and anchored 30 meters from the base of the tower. During a wind storm
the tower is bent over between two of the guy wires such that the 2 guy wires are
slack but the third is still tight. The angle that the tight wire makes with the
ground is 34 degrees. How far off vertical is the tower?

2.83941151 would be the answer you're looking for! : )

answer: 10 meter

step-by-step explanation:

need details

look at photo

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough