# math

posted by .

Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower’s base. Approximately how long will the line need to be?

• math -

This makes a right angle triangle -- and can be solved by the Pythagorean Theorem.

a^2 + b^2 = c^2

50^2 + 30^2 = c^2

2500 + 900 = c^2

3400 = c^2

58.3 = c

## 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. ### MATH

A radio tower 500 feet high is located on the side of a hill with an inclination to the horizontal of 5 degrees. How long should two guy wires be if they are to connect to the top of the tower and be secured at two points 100 feet …
4. ### math

A radio tower stands on the top of a hill that is 85 feet high. From the bottom of the hill, the elevation angle to the base of the tower is 42 degrees and the elevation angle to the top of the tower is 60 degrees. How tall is the …
5. ### Algebra

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
6. ### math

Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower’s base. Approximately how long will the line need to be?
7. ### MATH - GEOMETRY/TRIGONOMETRY

A 6 foot man stands by a 30 foot radio tower and casts a 10 foot shadow. How long is the shadow cast by the tower and what time is it?
8. ### Math

If an observer stands at a certain point in the same horizontal plane as the base of a radio tower. the angle of elevation of the top of the tower is 13deg 15'. If the observer moves 156.25 feet towards the tower, the angle of elevation …
9. ### geometry

for a guy wire to a tower is 180 feet long and makes an angle of 34 degrees with the tower.If the ground is level,how far from the base of the tower is the anchor part?
10. ### math

To secure a 500 meter radio tower against high winds, guy wires are attached to a ring that is 5 meters from the top of the tower. The wires form a 15 degree angle with the tower. Find the distance from the base of the tower to the …

More Similar Questions