What distances from the two gates should the pole, Mathematics

Assignment Help:

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.


Related Discussions:- What distances from the two gates should the pole

Lpp, A paper mill produces two grades of paper viz., X and Y. Because of ra...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

Undetermined coefficients, UNDETERMINED COEFFICIENTS The way of Undeter...

UNDETERMINED COEFFICIENTS The way of Undetermined Coefficients for systems is pretty much the same to the second order differential equation case. The simple difference is as t

Formula to calculate the surface area of basketball, Keith wants to know th...

Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.

Find the number of vertices in graph, A graph G has 21 Edges, 3 vertices of...

A graph G has 21 Edges, 3 vertices of degree 4 and other vertices are of degree 3. Find the number of vertices in G.   Ans: It is specified that graph G has 21 edges, so total

Probability of chosen number from 1st 500 divisble by 3or5 , IN THIS WE HAV...

IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5  occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466

Definition of infinite limits, Infinite limits : Let's now move onto the d...

Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity

Systems of linear equation, a man can row a bangka at a rate of 5 km/h in s...

a man can row a bangka at a rate of 5 km/h in still water. It takes 10 minutes longer to row upstream a distance of 2km than he takes to row downstream. What is the rate of the cur

Math help, What fraction of the full price will you pay for 2 shirts? 3 4 ...

What fraction of the full price will you pay for 2 shirts? 3 4 11 2 $45.001 2 .

Write prim's algorithm, Write Prim's Algorithm.   Ans: Prim's algorithm...

Write Prim's Algorithm.   Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below.  Let G = (V, E) be graph and S

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd