The angle of elevation of the top of a tower from a point 20m away from its base is 60 ∘ . The height of the tower is- - IQ786

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The angle of elevation of the top of a tower from a point 20m away from its base is 60 ∘ . The height of the tower is-

The angle of elevation of the top of a tower from a point 20m away from its base is 60 ∘ . The height of the tower is-

20 m

33 m

34.64 m

44.64 m

Explanation

We can solve this problem using trigonometry.

Let's denote:

$ℎ$ as the height of the tower,
$𝑑$ as the horizontal distance from the point to the base of the tower,
$𝜃$ as the angle of elevation (which is 60 degrees in this case).

In a right triangle formed by the tower, the horizontal distance, and the line of sight to the top of the tower, we have:

$\tan (𝜃) = \frac{ℎ}{𝑑}$