Question

A telephone line hangs between two poles 14 m apart in the shape of the catenary...

A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 15 cosh(x/15) − 10, where x and y are measured in meters.

(a) Find the slope of this curve where it meets the right pole. (Round your answer to four decimal places.)


(b) Find the angle θ between the line and the pole. (Round your answer to two decimal places.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A telephone line hangs between two poles 14 m apart in the shape of the catenary...
A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 29 cosh(x/29) − 24, where x and y are measured in meters. (a) Find the slope of this curve where it meets the right pole. (Round your answer to four decimal places.) (b) Find the angle θ between the line and the pole. (Round your answer to two decimal places.) θ =  °
Suppose you are climbing a hill whose shape is given by the equation z = 900...
Suppose you are climbing a hill whose shape is given by the equation z = 900 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 764). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascenddescend     At what rate? vertical meters per horizontal meter (b) If you walk northwest, will...
The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the...
The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation y = 211.49 − 20.96 cosh(0.03291765x) for the central curve of the arch, where x and y are in meters and |x| ≤ 91.20. (b) What is the height of the arch at its center? (Round your answer to two decimal places.) (c) At what points is the height 60 m? (Round your answers to two decimal places.) (d) What is the slope...
A telephone company's goal is to have no more than 3 monthly line failures on any...
A telephone company's goal is to have no more than 3 monthly line failures on any 100 miles of line. The company currently experiences an average of 5 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: (a) Find the probability that the company will meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round...
1. Find the distance between the point and the line given by the set of parametric...
1. Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (8, -1, 4); x = 2t, y = t − 3, z = 2t + 2 I had put 6.87 but it shows as it being wrong. 2. Consider the following planes. −6x + y + z = 6 24x − 4y + 6z = 36 Find the angle between the two planes. (Round your answer...
Two small forward-facing speakers are 2.50 m apart. They are both emitting, in phase with each...
Two small forward-facing speakers are 2.50 m apart. They are both emitting, in phase with each other, a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s. A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint. As she slowly walks parallel to the line connecting the speakers, at what angle θ (relative to the centerline coming outward from the midpoint between the speakers) will...
A propane tank is in the shape generated by revolving the region enclosed by the right...
A propane tank is in the shape generated by revolving the region enclosed by the right half of the graph of 9x2+25y2=169 and they-axis about the y-axis. If x and y are measured in meters find the depth of the propane in the tank when it is filled to one-quarter of the tank's volume. (Round to 3 decimal places). HINT: You will need to use a Graphing Calculator, Online Graphing Calculator, or Computer Algebra System to solve an equation towards...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows. x 5 15 21 12 23 22 14 19 18 17 19 18 7 5 6 21 19 10 18 13 y 19 19 24 36 27 26 25 28 17 27 21 24 18 18 14 28 21 22 20 21 (a) Find the equation of the line of...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows. x 3 17 19 14 21 20 14 19 18 15 17 16 9 7 4 21 19 10 20 13 y 19 19 24 36 27 26 25 28 17 27 21 24 18 18 14 28 21 22 20 21 (a) Find the equation of the line of...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were...
The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 20 students in a beginning computer-science course. The results were as follows. x 5 17 21 12 21 20 14 21 18 17 19 16 9 7 6 21 17 10 18 15 y 19 19 24 36 27 26 25 28 17 27 21 24 18 18 14 28 21 22 20 21 (a) Find the equation of the line of...