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

## Answer This Question

## Related Questions

- MATH - A wire is stretched from the ground to the top of an antenna tower. The ...
- math - A wire is stretched from the ground to the top of an antenna tower. The ...
- Precalc - A tower is supported by a guy wire 610 ft long. If the wire makes an ...
- math - A support wire runs from the top of a tower to the ground. If the tower ...
- trig - A tower is supported by a guy wire from the top of the tower to the ...
- Geography - A guy wire is attached on the ground 100 feet from the base of the ...
- Math - A vertical tower is supported by guy wires anchored at a point on the ...
- math - A guy wire is attached to a tower at a point that is 5.5m above the ...
- trig - A guy wire runs from the ground to a cell tower. The wire is attached to ...
- Math - Another question is a guy wire stretches from the top of an antenna tower...

More Related Questions