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From the top of the house 18m high, if t...

From the top of the house 18m high, if the angle of elevation of the top of a tower is 45° and the angle of depression of the foot of the tower is 30°, then the height of the tower is

A

`18sqrt(3)` m

B

`18(sqrt(3)+1)` m

C

`18(sqrt(3)-1) m`

D

`6sqrt(3)`m

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Verified by Experts

The correct Answer is:
B
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MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -MULTIPLE CHOICE QUESTIONS
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  2. A man on the top of a tower, standing on the seashore, finds that a...

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

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  4. A flag staff of 5m high stands on a building of 25m high. At an obse...

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

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  6. At a point on level ground, the angle of elevation of a vertical to...

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  7. The straight roads intersect at an angle of 60°. A bus on one road is ...

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  8. A flagstaff 10 m high stands at the centre of a equilateral triangle, ...

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

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  10. From the top of a light house, the angles of depression of two station...

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  11. A flag staff on the top of the tower 80 mt of height subtends an angle...

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  12. An aeroplane flying horizontally 900 m above the ground is observed at...

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  13. From the top of the house 18m high, if the angle of elevation of the t...

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  14. If the angle of elevation of an object from a point 100 m above a lake...

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

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  16. If the angles of elevation of the top of a tower from two points at d...

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  17. A boat is rowed away from a cliff 150 m high. At the top of the cliff,...

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  18. From the top of a church spire 96 m high, the angle of depression of t...

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  19. A flagstaff of height 1/5 of the height of a tower is mounted on the t...

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  20. The angles of elevation of the tops of two vertical towers as seen fro...

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