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a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable

Answer :

MrRoyalgo

The cable and the mass forms a right triangle

The length of the cable is 260 meters

How to determine the length of the cables?

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

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