Question

At two points on the opposite sides of a pole the angles of elevation of the top of the pole are 30' and 45. If the height of the pole is 20m, find the distance between the two points



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Answer 1

Answer:

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Step-by-step explanation:

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Class 10

>>Maths

>>Some Applications of Trigonometry

>>Heights and Distances

>>The angles of elevation of top of a pole

Question

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The angles of elevation of top of a pole from two points Aand B on the horizontal line lying on opposite side of the pole are observed to be 30

0

and 60

0

If AB=100 m, then height of the pole is

Medium

Solution

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Correct option is D)

Let the height of pole be PQ=h m.

And QB=d be the distance between B and foot of pole.

tan60

0

=

d

h

3

=

d

h

⇒d=

3

h

....(1)

tan30

0

=

100−d

h

3

1

=

100−d

h

⇒100−d=

3

h

Substitute the value of d from the equation (1), we get

⇒−

3

h

+100=

3

h

⇒100=h(

3

+

3

1

)

⇒100=h(

3

3+1

)

By doing cross multiplication

⇒100

3

=4h

⇒h=25

3

m

Answer 2

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