Question

The angle of elevation of the top of a tower is 30 degree . if the height is doubled , then then the angle of elevation be ?​

Answer 1

Explanation:

The angle of elevation of the top of a tower is 30 degree . if the height is doubled , then then the angle

Answer 2

ANSWER:-

The angle of elevation at the top of that tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will be less than 60 degrees.

Explanation:-

tan30° = h/x

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

Now when the height of the tower get doubled, we get :

$tanθ = \frac{2h}{x} \\ \: \: \: \: \: \: \: tanθ = \frac{2}{x} \times \frac{x}{ \sqrt{3} } \\ tanθ = \frac{2}{ \sqrt{3} }$

Therefore, θ < 60°

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