Question

A vertical tower stands on a horizontal plane and is summoned by a vertical floagstaff of height h. At a point in the plane, the angles of of elevation of the bottom and top of the flag staff are α and β respectively prove that height of the tower is (h tanα/ tanβ - tanα).
(don't give useless shi as answers istg I'll stab you!)​

Answer 1

Let height be y ΔOAC

tanθ= P/B

tanβ= CA/OA

tanβ= y+h/x. ⠀⠀⠀⠀(y+h)→ Let AB, AB+BC

x=[ y+x / tanβ ]

Consider ΔOAB

tan α= y/x = perpendicular/Base

x= y/tan α

y/tan α = y+h/tanβ

ytanβ=tanαy+tanαh

ytanβ−tany=tanαh

y(tanβ−tanα)=tanαh

y= h tan α /tanβ−tanα

This proved.

Answer 2

Step-by-step explanation:

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