# 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 point A be so that the total length of guy wire is minimal? Do not include units in your answer.
Distance from tower 1 to point A is???

1. without a diagram, I assume point A is an anchor in between the towers. If its distance from T1 is x, then the cable length is

d = √(60^2+x^2) + √(20^2+(140-x)^2)
to find the minimum, we want dd/dx = 0
That happens when x=105

posted by Steve

First Name

## Similar Questions

1. ### calculus

Tower 1 is 90 ft high and tower 2 is 40 ft high. The towers are 200 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
2. ### 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? So I said the
3. ### math

A television transmitter tower is 600 feet high. If the angle between the guy wire (attached at the top) and the tower is 57.8°, how long is the guy wire?
4. ### math

A 127 foot tower is located on hill that is inclined 38° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 64 feet downhill from the base of the tower. Find the length of wire needed.
5. ### math last set up

To secure a 618 meter radio tower against high winds, guy wires are attached to a ring 10 meters from the top of the tower. Each wire is anchored 90 meters from the base of the tower. Find the measure of the angle the wire makes
6. ### Math

A communications tower is located at the top of a steep hill, as shown in the figure below. The angle of inclination of the hill is 68°. A guy wire is to be attached to the top of the tower and to the ground, 150 meters downhill
7. ### 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?
8. ### 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
9. ### Math

The angle of elevation to the top of a tower is 27 degrees, taken from a point 19 meters from the base of the tower. How high is the tower?
10. ### Math trig

Two towers 50 meters apart from the top of the shorter tower to the top of the taller tower 43 degree elevation, depression from the top of shorter tower to the bottom of the taller tower is 36 degrees what is the height of each

More Similar Questions