Question

You stand 25 m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?
a)27.8 m
b)18.6 m
c)16.7 m
d)0.04 m

Answer 1

Let the height of the tower =hm

and the distance between building and tower =xm

Now, in △AED,

⇒tanx=

a

60

⇒atanx=60⟶(1)

Again, △BAC,

⇒tanx=

a

(h−60)

⇒atanx=h−60⟶(2)

From equations (1)ξ(2), we get

⇒h−60=60

⇒h=120

∴ Height of tower 120m

Hence, the answer is 120.

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