Question

The angle of depression from the top of a tower 40m height at a point on the ground is 30 degree find the distance of the point from the top of the tower

Answer 1

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Answer 2

Answer:

The distance of the distance of the point from the top of the tower is 69.28 meter.

Step-by-step explanation:

As per the data given in the question we have to find the distance of the point from the top of the tower.

As per the question it is given that The angle of depression from the top of a tower 40 meter height at a point on the ground is 30 degree.

Given,

The height of the tower is AB = 40 meter

The angle of depression = 30°

Let the distance of the point be x

Now, from Δ ABC

tan 30° =$\frac{AB}{BC}$

⇒$\frac{1}{\sqrt{3} }$ = $\frac{40}{X}$

⇒X=40$\sqrt{3}$

⇒X =40*1.732 = 69.28 meter

Hence, the distance of the distance of the point from the top of the tower is 69.28 meter.

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