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9. Some Applications of Trigonometry: Heights and Distances
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Q34 of 68 Page 9

A statue 1.46 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal (use = 1.73)

34


From the ∆DBC,





Now from the ∆ABC,



Put BC = DB from equation(i)





.46



Therefore, the height of pedestal is 2 m.


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32

A 20 m long flagstaff stands on a tower. At a point on the level ground the angles of elevations of the foot and top of the flagstaff are 30° and 60° respectively. Find the height of the tower.

33

A flagstaff stands on a tower. At a point distant 60 m from the base of the tower, the top of the flagstaff makes an angle of 60° and the tower makes an angle of 30° at that very point. Find the height of the flagstaff

35

The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower at the foot of the hill is 30°. If the tower is 50 m tall, what is the height of the hill?

36

At a point on the level ground, the angle of elevation of the top of a tower is 45°. On moving 20 m towards the tower, the angle of elevation becomes 60°. Find the height of the tower.

Questions · 68
9. Some Applications of Trigonometry: Heights and Distances
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