Two buildings are facing each other on a road of width 12 metres. From the top of the first building which is 10 metres high, the angle of elevation of the top of the second is found to be 60°. What is the height of the second building?
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Answer:(10+12 root 3)
Step-by-step explanation:
Let ab be the building of height 10metre
So AE is horizon
And DC is second building
Width of road isBC of 12m
Angle DAE =60Degree
Quadrilateral ABCE is rectangle
In right angle triangle DAE
Tan 60=DE/AE
Therefore answer on solving is DE=12root3metre
Now,
DC=DE+CE
DC=12root3+10
DC=(10+12 root 3)metre
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