Posted by **Luckybee** on Friday, June 15, 2012 at 8:55pm.

A radio tower is supported by a wire fastened to the ground 60 feet away from the base of the tower. If the slope of the wire is 3/2 approximately how long is the wire

- Algebra -
**Reiny**, Friday, June 15, 2012 at 11:45pm
Using similar triangles and ratios, we can find the height of the tower.

h/60 = 3/2

h = 90

then by Pythagoras:

let the length of the wire be x

x^2 = 60^2+90^2

x = √11700 = appr 108.2 ft

or

using trig, let the angle formed by Ø

tanØ = 3/2

Ø = 56.31°

then cosØ = 60/x

x = 60/cos 56.31° = 108.2

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