A flagpole 8 meters tall cost a 10 metre Shadow at the same time in nearby building cast a shadow of 30 metres. How tall is the building?
Answers
Answered by
4
I have attached the answer below....
Hope it helps u
Attachments:
Answered by
0
Height of building is 24 m
•Firstly we have to draw neat diagram to analyse the situation.
•We got two triangles ABC & DEF
shadow of an object is formed when a ray strikes and reflects back
•so, ray of sun makes a angle of depression from the top of tower
which in turn is angle of elevation from tip of the shadow to top of tower
these angles are <B & <F respectively
•At same instance these angles will be equal
•Now in triangle ACB
tan B = P/B = 8/10
tan B = 4/5 ______(1)
=> tan F = tan B
=> tan F = 4/5
•In triangle DEF
tan F = P/B = 4/5
DE/FE = 4/5
DE/30 = 4/5
DE = 24m
• Hence height of building is 24 m
Attachments:
Similar questions