Question

A point on the ground is 5m away from the foot of the vertical wall 7m high, calculate correct to the nearest degree angle of depression of the point from the top of the wall​

Answer 1

The angle of the depression from the top of the wall​ is 54 degree.

According to the statement

We have to find that the angle of the depression.

So, For this purpose, we know that the

Angle of the depression is the angle formed by the line of sight and the horizontal plane for an object below the horizontal.

From the given information:

A point on the ground is 5m away from the foot of the vertical wall 7m high

We know that the

θ = angle of depression of the point from the top of the wall

Then

Tan θ  = perpendicular / Base

Then substitute the values then

Tan θ  = perpendicular / Base

here perpendicular is 7 and the base is 5cm

Then

Tan θ  = 7/ 5

Tan θ  = 1.4

Then

θ  = tan^-1 (1.4)

θ  = 54.4

After rounding off to the nearest degree then it becomes 54 degree.

So, The angle of the depression from the top of the wall​ is 54 degree.

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