Two points 'P' and 'Q' along the same line are situated at a distance of 'a' and 'b' units from the foot of a tree. If the angles of elevation of the top of the tree from 'P' and 'Q' are respectively ab units. 60° and 30°. Show that the height of the tree is v
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Verified answer
Answer:
t the angle of elevation made at a distance of p= α
Then, angle of elevation made at a distance of q= 90−α
Let the height of tower = h
Then, tan∠ of elevation =
distance
Height
Thus, tanα=
p
h
tan(90−α)=
q
h
or cotα=
q
h
Multiply both the equations,
tanαcotα=
p
h
.
q
h
→
pq
h
2
=1
Or, h
2
=pq
h=
pq
Step-by-step explanation:
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