SOLUTION: To whom may it concern, I have problems to do this question. An aerial mast is supported by four wires attached to points on the ground each 57 metres away from the foot of t

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Question 60853: To whom may it concern,
I have problems to do this question.
An aerial mast is supported by four wires attached to points on the ground each 57 metres away from the foot of the mast. If each wire makes an angle of 32° with the horizontal, find the height of the mast.
Thank you very much.
CH Lam

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
We'll assume that the guy wires are attached to the very top of the aerial mast.
If you were to draw a diagram of this siuation you would see a right triangle in which the mast is represented by the height of the triangle and the base of the triangle would be the distance from the foot of the mast to the point of anchor of the guy wire.
Using the tangent function, you know that the tangent of the 32-degree angle is given by the ratio of the height divided by the base, so:
tan%2832%29+=+h%2Fb Solve this for h. Base, b = 57 m.
h+=+%2857%29tan%2832%29
h+=+35.62
The height of the mast is 35.62 metres.