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When an Observer at a Distance of 12 M from a Tree Looks at the Top of the Tree, the Angle of Elevation is 60°. What is the Height of the Tree? - Geometry Mathematics 2

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Question

When an observer at a distance of 12 m from a tree looks at the top of the tree, the angle of elevation is 60°. What is the height  of the tree?  `(sqrt 3 = 1.73)`

Sum

Solution

 

tan 60° = `"AB"/"BC"`

`sqrt 3 = "h"/12`

`therefore "h" = 12 sqrt 3` m

= 12 × 1.73 m

h = 20.76 m

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2018-2019 (March) Set 1

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