Question

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 60°. Find the length of the flagstaff.​

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Class 10

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>>Some Applications of Trigonometry

>>Heights and Distances

>>From a point P on the ground the angle o

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From a point P on the ground the angle of elevation of a 10 m tall building Is 30, A flag is hoisted at the top of the building and the angle of elevation of the top of the flag-staff from P is 45. Find the length of the flag-staff and the distance of the building, iron\ the point P. (Take

3

= 1.732 ).

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Solution

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In ΔBAP

tan30

o

=

AP

AB

⇒

3

1

=

x

10

x=10

3

m

Distance of building

Now,

In ΔPAD

tan45

o

=

AP

AD

1=

AP

AD

⇒x=AD=DB+BA

⇒10

3

=h+10

h=10

3

−10

=10(

3

−1)

h=10(1.732−1)

h=7.32m

Length of flag.