The angle of depression of a point g on a horizontal ground top , T of an electric pole is 25 degrees .if the distance from g to the foot of the pole is 45 m , calculate the height of the pole to the nearest whole number.

If I am reading your problem correctly, I would say that

h/45 = tan 25 degrees.

Find the tan of 25 and multiply times 45 to get the height.

I need an answer

To solve this problem, we can use trigonometry.

Let's assume the height of the pole is h meters.

Given that the angle of depression from point g (on the ground) to the top of the pole is 25 degrees, we can form a right triangle with the pole as the vertical side, the horizontal ground as the base, and the line of sight from g to the top of the pole as the hypotenuse.

Since we know the angle and the opposite side (height of the pole), we can use the tangent function to find the adjacent side (distance from g to the foot of the pole).

The tangent of an angle is equal to the opposite side divided by the adjacent side. So, we have:

Tan(25°) = h / 45 m

To find the height of the pole, we can rearrange the equation:

h = 45 m * tan(25°)

Using a scientific calculator or any calculator that has a tangent function, you can find:

h ≈ 20.9 m

Therefore, the height of the pole is approximately 21 meters when rounded to the nearest whole number.

To find the height of the pole, you can use trigonometry and the tangent function. Here are the steps to solve the problem:

1. Set up a right triangle with the vertical height of the pole as the opposite side, the distance from point g to the foot of the pole as the adjacent side, and the angle of depression as the angle.

2. Use the tangent function to find the height of the pole. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the tangent of the angle of depression is equal to the height of the pole divided by the distance 45m.

So, tan(25°) = height/45.

3. Rearrange the equation to solve for the height: height = tan(25°) × 45.

4. Use a calculator to find the value of tan(25°) and multiply it by 45. The result will be the height of the pole.

Using a calculator, tan(25°) = 0.4663 (rounded to 4 decimal places).

height = 0.4663 × 45 ≈ 20.98.

Therefore, the height of the pole, rounded to the nearest whole number, is 21 meters.