a vertical pole stands on level ground. from a point on the ground, which is 15 meters away from the pole, the angle of elevation of its top is found to be 30 degrees.find the height of the pole?
height/15 = tan 30°
take over ....
To find the height of the pole, we can use trigonometry. In this case, we can use the tangent function.
Let's denote the height of the pole as 'h'. Since we know the angle of elevation is 30 degrees and the distance from the point on the ground to the pole is 15 meters, we can set up the following equation:
tangent(30 degrees) = h / 15 meters
The tangent of 30 degrees can be calculated as 0.577 (approximately). Now, we can solve for 'h' by multiplying both sides of the equation by 15 meters:
0.577 = h / 15 meters
Rearranging the equation, we get:
h = 0.577 * 15 meters
Evaluating the right side of the equation:
h ≈ 8.655 meters
Therefore, the height of the pole is approximately 8.655 meters.