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A support wire reaches from the top of a pole to a clamp on the ground. The pole is
perpendicular to the level ground and the clamp is 10 feet from the base of the pole. The
support wire makes a 68° angle with the ground. Find the length of the support wire to the
nearest foot.


Sagot :

The length of the support wire on the pole is 27 feet

How to determine the length of the support?

The given parameters are:

  • Distance from the base, b = 10 feet
  • Angle with the ground, x = 68 degrees

The length (L) of the support wire is then calculated using the following cosine function

cos(x) = b/L

This gives

cos(68) = 10/L

Make L the subject

L = 10/cos(68)

Evaluate

L = 27

Hence, the length of the support wire is 27 feet

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