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(12) From a point on the roof of a house...

(12) From a point on the roof of a house, 11m high, it is observed that the angles of depression of the top and foot of a lamp ost are `30^@` and `60^@` respectively. What is the height of the lamp post?

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From the top of a building 60m high the angles of depression of the top and the bottom of a tower are observed to be 30^0 and 60^0 . Find the height of the tower.

A ship of height 24 m is sighted from a lighthouse. From the top of the lighthouse the angle of depression to the top of the mast and base of the ship is 30^@ and 45^@ respectively. How far is the ship from the lighthouse ? ( sqrt3 = 1.73 )

(11) A ship of height 24m is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and base of the ship is 30^@ and 45^@ respectively. How far is the ship from the lighthouse? (sqrt3 = 1.73)

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From the top of a light house, 80 metres high, two ships on the same side of light house are observed. The angles of depression of the ships as seen from the light house are found to be of 45^@ and 30^@ . Find the distance between the two ships. (Assume that the two ships and the bottom of the lighthouse are in a line)

Two buildings are facing each other on either side of a road of width 12m. From the top of the first building, which is 10 m high, the angle of elevation of the top of the second is 60^@ . What is the height of the second building?

Two buildings are facing each other on either side of a road of width 12m. Form the top of the first building , which is 10m. High, the angle of elevation of the top of the second is 60^@ . What is the height of the second building?

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he moves 40 m away from the bank, he finds the angle of elevation to be 30^(@) . Find the height of the tree and the width of the river. (sqrt3=1.73)

A boy is at a distance of 60 m from a tree, makes an angle of elevation of 60^@ with the top of the tree. What is the height of the tree?

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. (12) From a point on the roof of a house, 11m high, it is observed tha...

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  2. The sequence -10,-6,-2,2,….. a)is an A.P, Reason d=-16 b)is an A.P, Re...

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  3. First four terms of an A.P are…………, whose first term is -2 and common ...

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  4. What is the sum of first 30 natural numbers? a)464 b)465 c)462 d)461

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  5. For a given A.P., t7=4, d=-4 then a=……… a)6 b)-7 c)20 d)28

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  6. For a given AP, a=3.5, d=0, n=101 then tn=………. a)0 b)103.5 c)104.5 d)...

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  7. In an A.P, first two terms are -3, 4, then 21st term is……….a)-143 b)14...

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  8. If for an A.P, d=5 then t18-t13=……………a)5 b)20 c)25 d30

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  9. Sum of first five multiples of 3 is……a)45 b)15 c)55 d)35

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  10. 15, 10, 5,…… In this A.P the sum of first 10 terms is…..a)-75 b)-125 c...

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  11. In an A.P, 1st term is 1 and the last term is 20.The sum of all terms ...

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  12. For the A.P: 4,9,14…… t11=…..a)49 b)54 c)59 d)44

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  13. If a=6, d=3, then S10=……a)192 b)195 c)198 d)201

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  14. The sum of first 10 natural numbers is ..... a)55 b)155 c)310 d)210

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  15. Which of the following sequence is not an A.P? a)0.5,2,3.5,5,…. b)3,5,...

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  16. Find the missing term in the A.P: -5, ...., 13 a)1 b)4 c)2 d)3

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  17. Find the t2 of the sequence for which S1=2,S2=12 and S3=30 a)24 b)1 c)...

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  18. For an A.P if t4=12 and d=-10, then find a. a)-18 b)42 c)-5 d)21

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  19. The next two terms of the given sequence 1,3,7,15,31….. are: a)42, 54 ...

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  20. In an A.P, a=8, tn=62, Sn=210, then find n. a)5 b)6 c)7 d)8

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  21. The sum of first n terms of an A.P. is Sn=………… a)n/2[t1+tn] b)n/2[2+(n...

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