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A vertical lamp post 10 meter high stands at the corner of a r

Question

A vertical lamp post 10 meter high stands at the corner of a rectangular field. The angle elevation of its top from the farther corner is $\frac{π}{6}$ , while from the other corner it is $\frac{π}{4}$ . The area of the field is.

3

m^{2}

100

3

m^{2}

3

m^{2}

None of these

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Lucas Discussed

A vertical lamp post 10 meter high stands at the corner of a rectangular field. The angle elevation of its top from the farther corner is

\frac{π}{6}

, while from the other corner it is

\frac{π}{4}

. The area of the field is.

13 mins ago

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Text solutionVerified

Let angle of elevation from A be

\frac{π}{6}

& B be

\frac{π}{4}

Let the height of tenner be

h

towers

so tan

\frac{π}{6} = \frac{h}{A B}, t an \frac{π}{4} = \frac{h}{BC}

A B = h 3; BC = h

A re a = A B \times BC

= h^{2} 3

[h=10m, given]

= 1003 m^{2}

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Question Text	A vertical lamp post 10 meter high stands at the corner of a rectangular field. The angle elevation of its top from the farther corner is $\frac{π}{6}$ , while from the other corner it is $\frac{π}{4}$ . The area of the field is.
Answer Type	Text solution:1
Upvotes	150