Q. 8

# The length of a string between a kite and a point on the ground is 90 meters. If the string makes an angle θ with the ground level such that tanθ =15/8, how high is the kite? Assume that there is no slack in the string.

Let AB be the height of kite.

Given: To find: The length of AB.

Formula Used:  Explanation: Let the height of string = “h” m As we know, In ΔPQR, Perpendicular = PQ = 15

Base =QR = 8

According to Pythagoras theorem,

PR2 = PQ2 + QR2

PR2 = 152 + 82

PR2 = 225 + 64

PR2 = 289

PR = √289

PR = 17

As, sin θ = In ∆ABC,  17h = 90×15 79.41 m

Therefore, length of string = 79.41 m.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  NCERT | Imp. Qs. on Applications of Trigonometry54 mins  Quiz | Applications of Trigonometry47 mins  Application of Trigonometry45 mins  RD Sharma | IMP Qs Discussion on Some Application of Trigonometry44 mins  Fundas of Trigonometry50 mins  Basic Concepts of Trigonometry45 mins  Champ Quiz | Trigonometry Important Questions33 mins  Solving NCERT Questions on Trigonometric Identities56 mins  Smart Revision | Revise Trigo Like an Expert51 mins  NCERT I Trigonometric Ratios50 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 