A light house is such that its angle of elevation from a point due north is and from a point due west is .
Also the distance between the points is 'i'
If the height of the lighthouse is . Find k and n
Dear Student,
Please find below the solution to the asked query:
We form our diagram from given information , As :
Here height of light house = BD = ( Given ) and distance between both points = AC = i
We know : tan
So, in triangle BCD we get
And in triangle ABD we get
And we apply Pythagoras theorem in triangle ABC and get
AC2 = AB2 + BC2 , Now we substitute values from equation 1 and 2 and as given distance between two points is " i " .
We can see that above equation only be satisfied is k = n = 1 .
Therefore ,
k = 1 and n = 1 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
We form our diagram from given information , As :
Here height of light house = BD = ( Given ) and distance between both points = AC = i
We know : tan
So, in triangle BCD we get
And in triangle ABD we get
And we apply Pythagoras theorem in triangle ABC and get
AC2 = AB2 + BC2 , Now we substitute values from equation 1 and 2 and as given distance between two points is " i " .
We can see that above equation only be satisfied is k = n = 1 .
Therefore ,
k = 1 and n = 1 ( Ans )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards