A flagpole is 20m high. the angle of elevation of it's top from a point A level ground is 37°
So, the distance from A to the top of the pole is
20/sin37° = 33.23m
To find the distance between the point A and the base of the flagpole, we can use the trigonometric function tangent. The tangent function relates the angle of elevation, the height of the flagpole, and the distance between the two points.
Let's denote the distance between point A and the base of the flagpole as x.
We know that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the height of the flagpole (20m), and the adjacent side is the distance between point A and the base of the flagpole (x).
The tangent of the angle of elevation is given as 37°. Therefore, we have the equation:
tan(37°) = 20/x
To solve for x, we can rearrange the equation:
x = 20 / tan(37°)
Using a calculator, we can find the value of tan(37°) ≈ 0.7536.
Therefore, the distance between point A and the base of the flagpole is:
x ≈ 20 / 0.7536 ≈ 26.54 meters.
Hence, the distance between point A and the base of the flagpole is approximately 26.54 meters.