Math (Calculus)
posted by Alexis .
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???

Math (Calculus) 
Steve
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+(140x)^2)
to find the minimum, we want dd/dx = 0
That happens when x=105
Respond to this Question
Similar Questions

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? 
PreCalculus
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? 
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 should … 
math
two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of … 
math trigonometry
two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of … 
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 with … 
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. 
MathSineLaw
Fire lookout towers are used to locate fires so they can be put out as soon as possible. These towers often work in networks and if two towers can see a fire at the same time, they can determine the location of the fire vey accurately. … 
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? 
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 tower?