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9. Some Applications of Trigonometry
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Q1 of 25 Page 9

A tower is 200 m high. When the sun’s altitude is 45° then what will be the length of its shadow?

To find: The length of shadow.


Formula Used:



Explanation:



AC is the tower.


AB is the shadow


So,




AB = 200 m


So, length of shadow is 200m.


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2

A ladder is placed along a wall of a house such that its upper end is touching the top of the wall. The foot of the ladder is 2 m away from the wall and the ladder is making an angle of 60° with the level of the ground. Determine the height of the wall.

3

The horizontal distance between two trees of different heights is 60 m. The angle of depression of the top of the first tree when seen from the top of the second tree is 45°. If the height of the second tree is 80 m, find the height of the first tree.

4

Find the angle of elevation of a point which is at a distance of 30 m from the base of a tower 10√3 m high.

5

A kite is flying at a height of 50√3 m from the horizontal. It is attached with a string and makes an angle 60° with the horizontal. Find the length of the string.

Questions · 25
9. Some Applications of Trigonometry
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