A tree standing on a horizontal plane is leaning towards the east. At two points situated at a distance a and b exactly due west on it, the angles of elevation of the top are respectively α and β. Prove that the height of the top from the ground is
(b−a)tanαtanβ
tanα−tanβ

.

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Pawan Prajapati · Answer

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A tree standing on a horizontal plane is leaning towards the east. At two points situated at a distance a and b exactly due west on it, the angles of elevation of the top are respectively α and β. Prove that the height of the top from the ground is (b−a)tanαtanβ tanα−tanβ .

A tree standing on a horizontal plane is leaning towards the east. At two points situated at a distance a and b exactly due west on it, the angles of elevation of the top are respectively α and β. Prove that the height of the top from the ground is
(b−a)tanαtanβ
tanα−tanβ

.

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A tree standing on a horizontal plane is leaning towards the east. At two points situated at a distance a and b exactly due west on it, the angles of elevation of the top are respectively α and β. Prove that the height of the top from the ground is (b−a)tanαtanβ tanα−tanβ .

A tree standing on a horizontal plane is leaning towards the east. At two points situated at a distance a and b exactly due west on it, the angles of elevation of the top are respectively α and β. Prove that the height of the top from the ground is (b−a)tanαtanβ tanα−tanβ .

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A tree standing on a horizontal plane is leaning towards the east. At two points situated at a distance a and b exactly due west on it, the angles of elevation of the top are respectively α and β. Prove that the height of the top from the ground is
(b−a)tanαtanβ
tanα−tanβ

.