Math, asked by 1buddgie22, 3 months ago

A tree leaned due to storm. The pole with height of 7
metre from its foot was leaned against the tree to
make it straight. If the angle of depression at the
point of contacting the pole on the ground is 30°,
then what is the length of the pole? ​

Answers

Answered by Back2Life
18

NOTE: Question posted is slightly incorrect and we have to find the height of the tree (NOT the pole), since height of the pole is already given.

GIVEN:

Height of the pole = 7 metres, Angle of depression = 30⁰

ANSWER:

Height of the tree is 3.5 metres

SOLUTION:

(Refer the diagram in the attachment)

In triangle ABC,

AB = Height of the tree,

AC = Height of pole = 7 metres

∠ABC = 90⁰

Angle of depression = 30⁰

==> ∠ACB = 30⁰

---------------------------------------------->

Sin 30⁰ = Opposite side/Hypotenuse

= AB/AC

==> 1/2 = AB/7

==> AB = 7/2 = 3.5

∴ Height of tree is 3.5 metres

Attachments:
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