The angle of elevation of the top of a building from a point 10m away in level ground is 30.calculate the height of the building
Thank you
A boy whose eye is 2m above the ground is standing at a distance of 24m from a tall building on a level ground,find the height of the building from the ground,if the angle of elevation from the of the building is 20m°
To calculate the height of the building, we can use trigonometry and the tangent function.
Let's break down the given information:
- The angle of elevation of the top of the building is 30 degrees.
- The distance from the point on the ground to the building is 10 meters.
Now, we can use the tangent function, which relates the angle of elevation to the height and distance.
The tangent of an angle is equal to the opposite side divided by the adjacent side of a right-angled triangle.
In this case, the height of the building is the opposite side, and the distance from the point to the building is the adjacent side.
We can set up the equation as follows:
tan(30) = height / 10
To find the height, we need to rearrange the equation to solve for height:
height = tan(30) * 10
Now, let's calculate the height:
height = tan(30) * 10
height = 0.577 * 10
height = 5.77 meters
Therefore, the height of the building is approximately 5.77 meters.
If you meant the angle is 30°, then
tan30° = h/10
h = 10tan30° = ...