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9. Some Applications of Trigonometry: Heights and Distances
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Q29 of 68 Page 9

A man who is tall sees that angle of elevation of the top of a temple is 30°. If the distance of the man from the temple is 15 m, find the height of the temple.


29


Here the distance of the man from the temple is given,


BC = DE = 15 m.


And height of man =BD = CE =1 = 1.75 m


From the ∆ABC,





So,


Now, height of the temple = AC + CE = 8.66 + 1.75 = 10.41


Therefore, height of the temple is 10.41 m.


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27

An aeroplane flies from the ground making an angle of 30° with the ground and covers a distance of 184 m. What will be the height of the aeroplane above the ground?

28

A man of height 1 .5 m sees the top of a tree and the angle of elevation of the top at his eye is 60°. Find the height of the tree if the distance of the man from the tree is 36 m.

30

A flagstaff stands on a vertical tower. At a point distant 10 m from the base of the tower, the tower and the flagstaff make angles 45° and 15° respectively. Find the length of the flagstaff.

31

An observer standing at a distance of 72 m from a building measures the angles of elevation of the top and foot of a flagstaff on the building as 54° and 50°. Find the height of the flagstaff. [tan54° = 1.376, tan50° = 1.192]

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9. Some Applications of Trigonometry: Heights and Distances
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