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From the top of a lighthouse, an observe...

From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be `30^@`. If the height of the lighthouse is 100 m, then find how far is that ship from the lighthouse.

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(8) From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be 60^@ . If the lighthouse is 90 m, then find how far is that ship from the lighthouse? (sqrt3 = 1.73)

From the top of a lighthouse, an observer looking at a ship makes an angle of depression of 60^@ . If the height of the lighthouse is 90 metre, then find how far the ship is from the lighthouse. ( sqrt3 = 1,73 )

From the top of a lighthouse, an observer looking at a boat makes an angle of depression of 60^(@) . If the height of the lighthouse is 90m , then find how far is the boat from the lighthouse. (sqrt(3)=1.73)

From the top of a building , an observer is looking at a scooter parked at some distance away , makes an angle of depression of 30^(@) . If the height of the building is 40 m , find how far the scooter is from the building. (sqrt(3) = 1.73)

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 )

The angle of depression of a ship as observed from the top of a lighthouse is 45^(@) . If the height of the lighthouse is 200 m , then what is the distance of the ship from the foot of the lighthouse ?

(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)

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)

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)

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.

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. From the top of a lighthouse, an observer looks at a ship and finds th...

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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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