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9. Some Applications of Trigonometry: Heights and Distances
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Q1 of 68 Page 9

The length of a string between a kite and a point on the ground is 90 m. If the string makes an angle θ with the level ground such that tan . Find the height of the kite.


Given,


So from the ∆ABC


sec2 θ = tan2θ + 1








From the Triangle,


H= 90 × sinθ



Therefore, the height of the kite is 79.41 m.


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19

The shadow of Qutab Minar is 81 m long when the angle of elevation of the Sun is θ. Find the height of the Qutab Minar if tanθ= 0.89.

20

The string of a kite is 100 m long. If the string is in the form of a straight line (there is no slack in the string) and makes an angle of 8° with the level ground such that then find the height of the kite.

22

The upper part of a tree is broken over by the strong wind makes an angle of 30° with the ground. The top of the broken tree meets the ground at a distance of 25 m from the foot of the tree. Find the original height of the tree.

23

AB is a vertical wall and B is on the ground. A ladder AC is resting at point C on the ground. If ∠ACB = 60°, BC = 3m, then find the length of the ladder.

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