Purchase Solution

A relative rates calculus problem regarding a kite.

Not what you're looking for?

Ask Custom Question

A kite 100ft above the ground moves away horizontally at a speed of 8ft/sec. At what rate is the angle between the string and the horizontal decreasing when 200ft of string has been let out?

Purchase this Solution

Solution Summary

This shows how to find the rate of change of angle of a flying kite.

Solution Preview

Attached is a picture of a triangle to show the diagram setup.

Drawing picture is always the first step
in these kind of problems.

let x be the horizontal distance traveled, h be the height, L be the length of string let out and theta be the angle.

Next we need to find that something that is always true about our triangle.

Two things spring to mind:

Pythagoras: x^2 + h^2 = ...

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability