Q. 54.0( 4 Votes )

# The shadow of a 5-m-long stick is 2 m long. At the same time, the length of the shadow of a 12.5-m-high tree isA. 3 mB. 3.5 mC. 4.5 mD. 5 m

Answer :

All we need to find is the angle of elevation of the sun. In the figure, AB is 5m long stick and BC is 2m long shadow of the stick. We join A and C to get a right-angled triangle ∆ABC. Angle of elevation of the sun is ACB.

In ∆ABC,

or,

In this figure, PQ is the tree and QS is its shadow. PSQ is the angle of elevation of the sun. So, PSQ = ACB. Join P and S. We get a right-angled triangle ∆PQS. Given, PQ = 12.5m. We use trigonometric ratio tan taking PQ as the height and QS as the base.

In ∆PQS,

or,

or,

So, the correct option is (D).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Heights and Distances33 mins
Quiz | Imp. Qs. on Heights and Distances37 mins
NCERT | Basics of Heights and Distances37 mins
Idioms and Phrases43 mins
Goprep Genius Quiz | Analogy and Classification48 mins
Acid - Types and Nomenclature52 mins
Agriculture and its Importance35 mins
Foundation | Permutation and Combination45 mins
Learn to Make Your Own Acid Rain and pH Paper at Home!27 mins
Consistent and Inconsistent Equations33 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