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Solve the following question:(1) A perso...

Solve the following question:(1) A person is stading at a distance of 80 m from a church looking at its top. The angle of elevation is of `45^@`. Find the height of the church.

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A person standing at a distance of 90 m from a church observes the angle of elevation of its top to be 45^(@) . Find the height of the chruch .

An observer at a distance of 10 m from a tree looks at the top of the tree , the angle of elevation is 60^(@) . What is the height of the tree ? ( sqrt(3) = 1 .73 )

A boy standing at a distance of 48 meters from a building observes the top of the building and makes an angle of elevation of 30^@ . Find the height of the building.

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?

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)

Solve the following questions : A bus covers the distance of 100 km between its starting point at depot and the first bus stop in 2 hours , the distance of 80km between two bus stops in one and half hours and the distance of 120 km between second bus stop and its destination point in two and half hours , what is the average velocity of the bus if it has moved in straight line throughout the journey ?

To find the width the river, a man observes the top of a tower on the opposite bank making an angle of elevation 61^(@) . When he moves 50m backward from bank and observes the same top of the tower, his line of vision makes an angle of elevationfo 35^(@) . Find the height of the tower and width of the river. (tan 61^(@)=1.8, 35^(@)=0.7)

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his syes to the top of the building increases from his eyes to the top of the building increases from 30^@ to 60^@ as he walks towards the building. Find the distance he walked towards the building.

Solve the following example: A person standing between two hills fired a gun and heard the first echo after 0.5 s and the second echo after 0.9 s. Find the distance between two hills. (speed of sound in air =340 m//s )

A person observed the angle of elevation of the top of a tower as 30^@ . He walked 50m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60^@ . Find the height of the tower.

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. Solve the following question:(1) A person is stading at a distance of ...

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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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