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Pole Express

Help with a trig question?

A guy wire is attached to the top of a 15-m pole and stretched to a point that is d meters from the bottom of the pole. Express β, the angle of inclination, as an inverse cosine function of d.

Any help would be appreciated.

This question involves the SOHCAHTOA rule. Since you're interested in the inverse cosine function, you will have to use CAH in which case you would need to know the measurements for the adjacent and the hypotenuse.

Unfortunately, you are only given the adjacent and the opposite.

To find the hypotenuse, use the Pythagorean theorum...
H = √(15^2 + d^2)

As Cos(theta) = Adjacent / Hypotenuse,
Cos(β) = d / √(225 + d^2)

β = Cos^-1 (d / √(225 + d^2))

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