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At a point 15 m away from the base of a ...

At a point 15 m away from the base of a 15 m high house, the angle of elevation of the top is

A

`90^@`

B

`60^@`

C

`30^@`

D

`45^@`

Text Solution

Verified by Experts

The correct Answer is:
D
Let OP be the house and A be a point at a distance of 15 metres from the base of the house. Let the angle of elevation of A of the top of the house be `theta`. Then ,

tan `theta=(OP)/(OA)=15/15=1 rArr theta =45^@`
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OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise
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  4. ABC is a triangular park with AB = AC = 100 m. A block tower is situat...

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  5. If a flag-staff of 6 m height placed on the top of a tower throws a sh...

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  7. The top of a hill observed from the top and bottom of a building of he...

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  8. The angles of elevation of a cliff at a point A on the ground and at a...

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  9. The angle of elevation of a cloud from a point h mt. above is theta^@ ...

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  10. On the level ground, the angle of elevation of a tower is 30^(@). O...

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  11. Each side of a square substends an angle of 60^@ at the top of a towe...

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  12. The angle of elevation of the top of a tower at any point on the groun...

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  13. Form the top of a light house 60 m high with its base at the sea-level...

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  14. A person standing on the bank of a river observes that the angle subte...

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  15. AB is a vertical pole. The end A is on the level ground .C is the midd...

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  16. A tree is broken by wind, its upper part touches the ground at a point...

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  17. An aeroplane flying at a height 300 metre above the ground passes vert...

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  18. A tower subtends an angle alpha at a point in the plane of its base a...

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  19. The angle of elevation of the top of a tower standing on a horizontal ...

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  20. From an aeroplane vertically over a straight horizontal road, the angl...

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  21. A vertical tower stands on a declicity which is inclined at 15^@ to th...

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