A person observed the angle of elevation of the
top of a tower as 30°. He walked 30 m towards
the foot of the tower along level ground and
found the angle of elevation of the top of the
tower as 60°. Find the height of
the tower.
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Step-by-step explanation:
tan60
∘
=
BC
AB
=
3
⇒BC=
3
AB
Now ΔB=DC+BC=50+
3
AB
tan30
∘
=
3
1
=
ΔC
AB
=
50+
3
AB
AB
⇒50+
3
AB
=
3
AB
⇒50
3
+AB=3AB
Ab=25
3
= Height of towar
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