math

posted by .

A chemical distillation tower, 110 m high is supported by cables of length L that reach from the top of the column to the ground at a distance D from the base of the tower. If D is 1/3 the length of a cable, find L and D.

• math -

Pythagorus to the rescue!

L^2 = 110^2 + (L/3)^2
L = 116.67
so, D = 38.89

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

Another question is a guy wire stretches from the top of an antenna tower to a point on level ground 18 feet from the base of the tower. The angle between the wire and the ground is 63 degrees. How high is the tower?
4. Math Word Problem

A cross section of a nuclear cooling tower is a hyperbola with equation x^2/90^2-y^2/130^2=1. The tower is 450ft tall and the distance from the top of the tower to the center of the hyperbola is half the distance from the base of the …
5. Pre-Calculus

A wire from the top of a TV tower makes an angle of 49.5 with the ground and touches the ground 225 feet from the base of the tower. How high is the tower?
6. 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
7. Math (Calculus)

Tower 1 is 60 ft high and tower 2 is 20 ft high. The towers are 140 ft apart. A guy wire is to run from point A to the top of each tower. [See a picture of this situation on page 274 of the textbook.] How many feet from tower 1 should …
8. algebra

At a point on the ground 30 feet from the base of a tower, the distance to the top of the tower is 2 feet more than twice the height of the tower. Find the height of the tower.
9. Trigonometry

At a point on the ground 125 ft from the base of a tower, the angle of elevation to the top of the tower has a degree measure of 38 degrees. How high is the tower
10. Math

The angle of elevation on the top of a radio tower is 7.5° from the ground at a distance of 1.5 miles from the base of the tower find the height of the tower. My answer : 2.71 miles

More Similar Questions