Question

from a point on a building of height 7m the angle of elevation of the top of tower is 60° and the angle of the depressed of bottom of tower is 30° find the height of the tower​

Answer 1

HOPE ITS HELP U.............XD

Answer 2

The height of tower=28 m

Step-by-step explanation:

Height of building=7 m

Let h be the height of tower

In rectangle BDEF

BD=EF=7m,DE=BF

In triangle DEF

$tan\theta=\frac{Perpendicular\;side}{Base}$

Using the formula

$tan30=\frac{EF}{DE}$

$\frac{1}{\sqrt 3}=\frac{7}{DE}$

Using tan30 degree=$\frac{1}{\sqrt 3}$

$DE=7\sqrt 3$ m

DE=BF=$7\sqrt 3$m

In triangle ABF

$\frac{AB}{BF}=tan60^{\circ}$

Substitute the values

$\frac{AB}{7\sqrt 3}=\sqrt 3$

By using tan 60 degrees=$\sqrt 3$

$AB=7\sqrt 3\times\sqrt 3=21 m$

Height of tower=AB+BD=21+7=28 m

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https://brainly.in/question/6916222:Answered by Rajdristant