From a window in apartment building the angle of evaluation from the top of the flag pole across the street is 9 degrees. The angle of depression is 22 to the base of flag. How tall is flag pole to the nearest of tenth meter?
One more piece of information is needed, such as
the distance of the pole from the building
tow similar polygons have areas of 100 square inche s and 81 square inces. if a side of the first is 6 incehs find the corresponding side of the second polygon
To find the height of the flag pole, we can use the concepts of trigonometry.
Let's consider the diagram:
A
/|
/ |
/ | <---- Flag Pole
/ |
/ |
/ |
B------C
Here, point A represents the window in the apartment building, point B represents the top of the flag pole, and point C represents the base of the flag pole.
We are given that the angle of elevation from point A to point B is 9 degrees. This means that angle BAC is 9 degrees.
We are also given that the angle of depression from point A to point C is 22 degrees. This means that angle BCA is 22 degrees.
Now, from triangle ABC, we can apply the tangent function. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.
In our case, we want to find the length of side AB, which represents the height of the flag pole. Therefore, we can use the tangent of angle BAC to find the height.
tan(BAC) = AB / AC
tan(9) = AB / AC
Now, we can rearrange the equation to solve for AB:
AB = tan(9) * AC
To find the height of the flag pole, we need to know the distance AC (the horizontal distance between the window and the base of the flag pole). Unfortunately, that information is not provided in the question. Therefore, without knowing the value of AC, we cannot determine the exact height of the flag pole.