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A Kite is Attached to a 100 M Long String. Find the Greatest Height Reached by the Kite When Its String Makes an Angles of 60° with the Level Ground. - Mathematics

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प्रश्न

A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angles of 60° with the level ground.

योग

उत्तर

Given that the kite is attached to a 100 m long string and it makes an angle of  60° with the ground level which is shown in the figure below:

Suppose that the greatest height is x m.

From the figure

`x/(100)` = sin 60°     ...`[because "Perp."/"Hypot." = "sin"]`

`x/(100) = sqrt(3)/(2)`

x = 86.6 m

Therefore the greatest height reached by the kite is 86.6 m.

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Solution of Right Triangles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 24: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - Exercise 24 [पृष्ठ ३०४]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 24 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 16 | पृष्ठ ३०४
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