Q. 64.5( 8 Votes )

# A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, the length of the ladder isA.B. 4√3 mC. 2√2mD. 4 m

Answer :

In the figure, let AC be the ladder and AB is the wall. BC is the distance of the foot of the ladder from wall AB. Join B and C. We get right-angled triangle ∆ABC. Given that, BC = 2m, ACB = 60°. We use trigonometric ratio tan taking AB as the height and BC as the base.

In ∆ABC,

or,

where cos60° = 1/2.

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
Indicators and its Types44 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