wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Two poles of equal heights are standing opposite each other on either side of the road, which is 90 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60 and 30, respectively. Find the height of the poles.

Open in App
Solution


The above figure represents the situation given in the question
tan30=ABBCtan30=ABxx3=AB(1)tan60=EDCD3=ED90x3(90x)=ED(2)But ED=AB, therefore from eq(1) and (2)3(90x)=x3=2703x=xx=67.5mAB=67.53=39m (approx) which is the height of the poles


flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle of Elevation and Angle of Depression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon