Find the constant height at which the jet is flying, Mathematics

Assignment Help:

The angle of elevation of a jet fighter from a point A on the ground is 600. After a flight of 15 seconds, the angle of elevation changes to 300. If the jet is flying at a speed  of  720  km/hr, find  the  constant  height  at  which  the  jet  is  flying.(Use √3 =1.732                         (Ans: 2598m)

Ans: 36 km / hr = 10m / sec

720 km / h = 10 x 720/36

Speed = 200 m/s

Distance of jet from

AE = speed x time

= 200 x 15

= 3000 m

tan 60o = AC/BC (opposite side/adjacentside)

√3 = AC/ BC

BC √3 = AC

AC = ED (constant height)

∴ BC √3 = ED ...................1

tan 30o = ED  /BC CD (opposite side/adjacentside)

1/√3  =  ED/ BC + 3000

BC + 3000/√3 =ED

BC + 3000/√3 =BC√3 (from equation 1)

BC + 3000 = 3BC

3BC - BC = 3000

2 BC = 3000

BC = 3000/2

BC = 1500 m

ED = BC √3 (from equation 1)

= 1500 √3

= 1500 x 1.732

ED = 2598m

∴ The height of the jet fighter is 2598m.


Related Discussions:- Find the constant height at which the jet is flying

Solid geomerty, find the equation to the sphere through the circle xsqaure+...

find the equation to the sphere through the circle xsqaure+ysquare+zsquare+=9 , 2x+3y+4z=5

Math probles, Belleville lake was originally blue because it only had 11 al...

Belleville lake was originally blue because it only had 11 algae plants. then towns and farms cropped up by the lake .this cause 446 more algae plants to grow which turned the lake

Solving an equation using multiplication and division, Solving an equation ...

Solving an equation using Multiplication and Division       A variable is a symbol that represents a number. Usually we use the letters like n , t , or x for variables. For

If tan2x.tan7x=1 , tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its give...

tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies

Addition of unlike terms, In this case, the first point we have to re...

In this case, the first point we have to remember is that we do not get a single value when we add two or more terms which are unlike in nature. This certainly ob

Graph f(x) = ex and g(x) = e- x - common graph, Graph f ( x ) = e x and g ...

Graph f ( x ) = e x and g ( x ) = e - x . Solution There actually isn't a lot to this problem other than ensuring that both of these exponentials are graphed somewhere.

Fractions, Mr. And Mrs. samuel visited Florida and purchased 120 oranges. ...

Mr. And Mrs. samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives, ate 1/12 of them in the hotel, and gave 1/3 of them to friends. The shipped the

Fermats theorem, Fermat's Theorem  If f(x) has a relative extrema at x...

Fermat's Theorem  If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.

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