Question

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In the given figure, HT shows the height of a tree standing vertically. From a point P , the angle of elevation of the top of the tree ( that is ΔP ) measures 42° and the distance of the tree is 60 metres. Find the height of the tree.

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Answer 1

$\bf{\underline{\underline{Question:-}}}$

• In the given figure, HT shows the height of a tree standing vertically. From a point P , the angle of elevation of the top of the tree ( that is ΔP ) measures 42° and the distance of the tree is 60 metres. Find the height of the tree.

$\bf{\underline{\underline{Given:-}}}$

• HT shows the height of tree .
• From point P angle of elevation of the top of tree measure 42°
• Distance of tree is 60 metre or TP = 60

$\bf{\underline{\underline{Find:-}}}$

• Height of the tree ?

$\bf{\underline{\underline{Solution:-}}}$

$\sf ☞tan \theta = \dfrac{HT}{TP}$ ☞ tan θ = 0.9

$\sf ☞ 0.9 = \dfrac{TP}{60}$

$\sf ☞ TP = 60×0.9$

$\sf ☞ TP = 54m$

$\bf{\underline{\underline{Hence:-}}}$

⠀⠀⠀⠀ ⊙ The required height of tree is 54m

Answer 2

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