RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a.

Other Exercises

Question 1.
Solution:
Let AB be the tower standing on a level ground and O be the position of the observer. Then OA = 20 m and ∠OAB = 90° and ∠AOB = 60°
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 1
Let AB = h meters
From the right ∆OAB, we have
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 2

Question 2.
Solution:
Let OB be the length of the string from the level of ground and O be the point of the observer, then, AB = 75m and ∠OAB = 90° and ∠AOB = 60°, let OB = l meters.
From the right ∆OAB, we have
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 3

Question 3.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 4
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 5

Question 4.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 6
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 7

Question 5.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 8
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 9

Question 6.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 10
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 11

Question 7.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 12
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 13

Question 8.
Solution:
Let SP be the statue and PB be the pedestal. Angles of elevation of S and P are 60° and 45° respectively.
Further suppose AB = x m, PB = h m
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 14
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 15

Question 9.
Solution:
Let AB be the unfinished tower and let AC be complete tower.
Let O be the point of observation. Then,
OA = 75 m
∠AOB = 30° and ∠AOC = 60°
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 16
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 17

Question 10.
Solution:
Let AB be the tower and BC be flagpole, Let O be the point of observation.
Then, OA = 9 m, ∠AOB = 30° and ∠AOC = 60°
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 18
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 19
Hence, height of the tower= 5.196 m and the height of the flagpole = 10.392 m.

Question 11.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 20
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 21

Question 12.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 22
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 23

Question 13.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 24
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 25

Question 14.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 26
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 27

Question 15.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 28
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 29

Question 16.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 30
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 31

Question 17.
Solution:
Let AB and CD be the first and second towers respectively.
Then, CD = 90 m and AC = 60 m.
Let DE be the horizontal line through D.
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 32
Draw BF ⊥CD,
Then, BF = AC = 60 m
∠FBD = ∠EDB = 30°
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 33

Question 18.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 34
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 35

Question 19.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 36
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 37

Question 20.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 38
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 39

Question 21.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 40
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 41

Question 22.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 42
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 43

Question 23.
Solution:
Let AB be the height of the deck and let CD be the cliff..
Let the man be at B, then, AB= 16 m
Let BE ⊥CD and AE ⊥ CD
Then, ∠EBD = 60 and ∠EBC = 30
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 44
CE = AB = 16m
Let CD = h meters
Then, ED = (h 16)m
From right ∆BED, we have
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 45

Question 24.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 46
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 47

Question 25.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 48
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 49

Question 26.
Solution:
Let AB be the tower and let the angle of elevation of its top at C be 30°.
Let D be a point at a distance 150 m from C such that the angle of elevation of the top of tower at D is 60°.
Let h m be the height of the tower and AD = x m
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 50
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 51

Question 27.
Solution:
Let AB be the light house and let C and D be the positions of the ship.
Let AD =x, CD = y
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 52
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 53
The distance travelled by the ship during the period of observation = 115.46 m

Question 28.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 54
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 55

Question 29.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 56
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 57

Question 30.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 58
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 59

Question 31.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 60
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 61

Question 32.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 62
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 63

Question 33.
Solution:
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 64
RS Aggarwal Solutions Class 10 Chapter 14 Height and Distance Ex 14a 65

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