# Algebra

posted by .

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 -

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

## Similar Questions

1. ### math

A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire. Find the height of the tower. 20 …
2. ### MATH

A wire is stretched from the ground to the top of an antenna tower. The wire is 20 feet long. The height of the tower is 4 feet greater than the distance from the tower's base to the end of the wire.Find the height of the tower. 20^2=H^2 …
3. ### trig

A tower is supported by a guy wire from the top of the tower to the ground 16 ft from its base. The wire makes an angle of 62 with the ground. The length of the wire is a. 30.09 ft b. 18.12 ft c. 28.41 ft d. 34.08 ft
4. ### trig

A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle formed between the wire and the ground is 40° (see figure). (Round your answers to one decimal place.)
5. ### Math

A vertical tower is supported by guy wires anchored at a point on the ground. The longer wire is attached to the top of the tower and makes an angle of 53 with the ground. The shorter wire makes an angle of 21 with the ground. The …
6. ### Precalc

A tower is supported by a guy wire 610 ft long. If the wire makes an angle of 69 degrees with respect to the ground and the distance from the point where the wire is attached to the ground and the tower is 125 feet. a) State if the …
7. ### math

A support wire runs from the top of a tower to the ground. If the tower is 1200 feet tall and the wire is attached to the ground 500 feet away from the tower, how long is the support wire?
8. ### math

A guy wire is attached to a tower at a point that is 5.5m above the ground. The angle between the wire and the level ground is 56 degrees. How far from the base of the tower is the wire anchored to the ground, to the nearest tenth …
9. ### Geography

A guy wire is attached on the ground 100 feet from the base of the tower. The wire is also attached to the top of the 300 foot tower. How long is the guy wire?
10. ### math

a guy wire is 15m long. it supports a vertical television tower. the wire is fastened to the ground 9.6m out from the base of the tower a) calculate the angle formed by the guy wire and the ground b) calculate how far up the tower …

More Similar Questions