A guy wire to a tower makes a 72 degrees angle with level ground. At a point 30 ft farther from the tower than the wire but on t
he same side as the base of teh wire, the angle of elevation to the top of the tower is 30 degrees. Find the length of the wire (to the nearest foot).
2 answers:
So.. checking the picture below
we can say y = y, or just do a substitution and end up with

once you know, how long is "x", then you can simply use the cosine of 72° to get "r"
thus
Answer:

Step-by-step explanation:
To find: The length of the wire.
Solution:
From the figure, using trigonometry, we have

⇒
(1)
And, 
⇒
(2)
Thus, from equation (1) and (2), we get

⇒
⇒
⇒
⇒
⇒
Also, 
⇒
⇒
⇒
Therefore, the length of the wire is 21.45 feet.
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