Questions
A tree is leaning towards east. Two points due west of the tree are at distances ‘a’ and ‘b’ from its foot. If and are the elevations of the top of the tree from these points, its inclination to the horizon is
detailed solution
Correct option is C
We have tanα=ha+x⇒a+x=hcotα -----xbAlso tanβ=hb+x⇒b+x=hcotβ -------xa⇒xb−a=hbcotα−acotβ⇒ hx=b−abcotα−acotβ∴tanθ=b−abcotα−acotβ ⇒θ=Tan−1b−abcotα−acotβTalk to our academic expert!
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The angle of elevation of top of an unfinished tower at a point distance 120m from its base is 450. How much height must the tower be raise so that angle of elevation of top at the same point to be 600.
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