Skip to content
Philoid
Browse Saved
Back to chapter
9. Some Applications of Trigonometry: Heights and Distances
Home · Class 10 · · Ref. Book · 9. Some Applications of Trigonometry: Heights and Distances
Prev
Next
Q28 of 68 Page 9

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.

28


Here distance of the man from tree is given


BC = DE = 36 m


And height of man = BD = CE =1.5 m


From the ∆ABC,





Now, height of the tree = AC + CE


= 62.35 + 1.5


= 63.85


Therefore, height of the tree is 63.85 m.


More from this chapter

All 68 →
26

In order to cross a river, a person has to cover a distance of 250 m along the straight bridge from one end to the other. I f the bridge makes an angle of 30° with the edge of the river, find the width of the river.

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?

29

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.

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.

Questions · 68
9. Some Applications of Trigonometry: Heights and Distances
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 36 37 37 37 38 38 39 39 39 40 40 40 40 41 41 41 41 42 43 44 45 46 47 48 49 50 51 52 52 53 54 55
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved