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15.From a point on the ground,the top of a tree is seen to havean angle of elevation 60%. Thedistance between the tree anda point is 50 m. Calculate theheight of the tree?O 67.2 mO 56,8 mO 66,6 mVarcelO 86,6 m​

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Maths

Some APPLICATIONS of Trigonometry

Heights and Distances

From a point on the ground ...

MATHS

From a point on the ground which is at a distance of 50 m from the FOOT of the tower, the angle of ELEVATION of the top of the tower is observed to be 30

o

. Find the height of the tower.

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ANSWER

Let the height of the tower be h m.

From △PAB,TAN30

o

=

PA

AB

3

1

=

50

h

h=

3

50

Hence, the height of the tower is

3

50

m.

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