Answer :


A is the position of the cloud, B is the point 200 m above the lake and F is the reflection in the lake.


Here AE = EF


EF = (m + 200) m


In ΔABC



BC = m cot 30° ……………….1


In Δ BCF


CF = 200 + m +200


= (400 + m) meters



BC = (400 + m) cot 60° ………………….2


From 1 and 2


m cot 30° = (400 + m) cot 60°


m =


3 m = (400 + m)

2m = 400

m = 200 m


The height above the cloud above the lake is (200 + 200)m = 400 m.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric IdentitiesTrigonometric IdentitiesTrigonometric Identities39 mins
Trigonometric Identities-IITrigonometric Identities-IITrigonometric Identities-II43 mins
Heights and Distances-IHeights and Distances-IHeights and Distances-I45 mins
Magnetic Field of Circular ConductorMagnetic Field of Circular ConductorMagnetic Field of Circular Conductor41 mins
Magnetic Effects of Electric CurrentMagnetic Effects of Electric CurrentMagnetic Effects of Electric Current44 mins
Electric MotorElectric MotorElectric Motor37 mins
Lifelines of National Economy + Manufacturing Industries RevisionLifelines of National Economy + Manufacturing Industries RevisionLifelines of National Economy + Manufacturing Industries Revision47 mins
Electromagnetic  InductionElectromagnetic  InductionElectromagnetic Induction38 mins
Magnetic ForceMagnetic ForceMagnetic Force48 mins
Indicators show the Nature of Acids & Bases. How?Indicators show the Nature of Acids & Bases. How?Indicators show the Nature of Acids & Bases. How?34 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
caricature
view all courses
RELATED QUESTIONS :

At a point A, 20 Mathematics - Board Papers

If <img style="veRD Sharma - Mathematics

From a point on tMathematics - Board Papers

Evaluate each of RD Sharma - Mathematics

Express <imRD Sharma - Mathematics