from the top of a building 10metres high the angle of depression of a stone lying on the horizontal ground is 69degrees.calculate the distance of the stone from the foot of the building in metres to 1 decimal place

10/x = tan69°

17.3m

To calculate the distance of the stone from the foot of the building, we can use trigonometry and specifically the tangent ratio.

Let's denote the distance from the foot of the building to the stone as 'x'.

In the given scenario, we have a right triangle formed by the building, the ground, and the line of sight to the stone. The height of the building is 10 meters, and the angle of depression (the angle between the line of sight and the horizontal ground) is 69 degrees.

We can use the tangent of the angle of depression to find the relationship between the height of the building and the distance from the foot of the building to the stone:

tan(angle) = opposite / adjacent

tan(69) = 10 / x

To solve for x, we rearrange the equation:

x = 10 / tan(69)

Now, we can calculate the value of x:

x ≈ 3.399 meters (rounded to 1 decimal place)

Therefore, the stone is approximately 3.4 meters away from the foot of the building.