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

Computing change for a given coin system, This problem involves the questio...

This problem involves the question of computing change for a given coin system. A coin system is defined to be a sequence of coin values v1 (a) Let c ≥ 2 be an integer constant

Determine the value of the unknown side of a right triangle, Determine the ...

Determine the value of the unknown side of a right triangle: The two legs of a right triangle are 5 ft and 12 ft.  How long is the hypotenuse? Now Let the hypotenuse be c ft.

Variation and proportion, i am not getting what miss has taught us please w...

i am not getting what miss has taught us please will you will help me in my studies

Mathematical science, state tha different types of models used in operation...

state tha different types of models used in operations research.

Important points about the alternating series test, Important Points About ...

Important Points About the Alternating Series Test There are a several things to note about this test.  Very first, unlike the Integral Test and the Comparison or Limit Compari

Evaluate the volume of a ball, Evaluate the volume of a ball whose radius i...

Evaluate the volume of a ball whose radius is 4 inches? Round to the nearest inch. (π = 3.14) a. 201 in 3 b. 268 in 3 c. 804 in 3 d. 33 in 3 b. The volume of a

Group automorphism, (a) Find an example of groups G, H, K with K  H and H...

(a) Find an example of groups G, H, K with K  H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve

Regression, A regression line drawn as Y=C+1075x, when x was 2, and y was 2...

A regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Calculus 1, Suppose a Ferris wheel with radius of 12 meters is rotating at ...

Suppose a Ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute. a. How fast is a person rising when the person is 3 meters above the horizontal lin

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