What distances from the two gates should the pole, Mathematics

A pole has to be erected at a point on the boundary of a circular park of diameter 13m in such a way that the differences of its distances from two diametrically opposite fixed gates A & B on the boundary in 7m.  Is it possible to do so?  If answer is yes at what distances from the two gates should the pole be erected.

Ans:    AB = 13 m                                                                        P BP = x

⇒ AP - BP = 7

⇒  AP = x + 7

APQ

⇒ (13)2 = (x + 7)2 + x2

x2 +7x - 60 = 0

(x + 12) (x - 5) = 0

x = - 12 N.P

x = 5

∴Pole has to be erected at a distance of 5m from gate B & 12m from gate A.

Posted Date: 4/8/2013 5:02:07 AM | Location : United States







Related Discussions:- What distances from the two gates should the pole, Assignment Help, Ask Question on What distances from the two gates should the pole, Get Answer, Expert's Help, What distances from the two gates should the pole Discussions

Write discussion on What distances from the two gates should the pole
Your posts are moderated
Related Questions

A two-digit number is seven times the sum of its digits.  The number formed by reversing the digits is 18 less than the  original number. Find the original number.

how to remember the formulas of this topic

I need help on radical notation for a homework assignment I''m really confused on it. Can I get help?

The first section of a newspaper has 16 pages. Advertisements take up (3)3/8 of the pages. How many pages are not advertisements? Subtract the number of pages of advertisements

We'll include this section with the definition of the radical.  If n is a +ve integer that is greater than one and a is a real number then, Where n is termed as the index,

a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.


Question: The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. (a) Construct a decision tr

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b