Find The Length of The String ? If

A kite is flying at the height of 75 m from the ground. The string makes an angle θ[where cotθ = 8/15] with the level ground. Assuming that there is no slack in the string, the length of the string is equal to:

  1. 85 m
  2. 75 m
  3. 40 m
  4. 65 m
Abdul Salam Newbie Asked on 22nd August 2015 in Maths.
Add Comment
1 Answer(s)

Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

Answer: (1) 85 m
Explanation:-
Let the length of the kite be X m.
In the triangle ABC-

RE: Find The Length of The String ? If


Given-
cotq = 8/15
Cot q = AB/75
8/15 = AB/75
AB = 8 x 5
AB = 40 m
AC = (AB2 + BC2)1/2
AC = (752 + 402)1/2
AC = (5625 + 1600)1/2
AC = (7225)1/2
AC = 85 m
AC= X = 85 m
Then, the length of the string is 85 m.
Hence, the answer is (1) 85 m.

Anurag Mishra Professor Answered on 28th August 2015.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.