Question

The angle of elevation of a tower at the point on the ground is 30 degree . If the height of the tower is tripled . Find the angle of elevation the top at the Same point

Answer 1

Just tried it...Hope it helps...;)

Answer 2

Answer:

60°

Step-by-step explanation:

The angle of elevation of a tower at the point on the ground is 30 degree .

Refer the attached figure

Let the height of the tower be h

So, AB = h

Base = BC

In $\triangle{ABC}$

$Tan\theta = \frac{Perpendicular}{Base}$

$Tan 30^{\circ} = \frac{AB}{BC}$

$\frac{1}{\sqrt{3}} = \frac{h}{BC}$

$BC=\sqrt{3}h$

Now the height is tripled Find the angle of elevation the top at the Same point

$Tan\theta = \frac{Perpendicular}{Base}$

$Tan\theta = \frac{3h}{\sqrt{3}h}$

$Tan\theta = \frac{3}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

$Tan\theta = \frac{3\sqrt{3}}{3}$

$\theta = 60^{\circ}$

Hence  the angle of elevation the top at the Same point is 60°