Question

A woman standing on a hill sees a flagpole that she knows is 45 ft tall. The angle of depression to the bottom of the pole is 14

Answer 1

To find the distance from the bottom of the flagpole to the woman's position, we can use the tangent function and the given angle of depression and height of the flagpole. The distance is approximately 182.35 feet.

Step-by-step explanation:

In this question, we are dealing with trigonometry. The woman standing on the hill sees a flagpole and wants to know the distance from the bottom of the flagpole to her position. We can use the angle of depression and the height of the flagpole to find this distance. We can use the tangent function to solve this problem.

The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height of the flagpole and the adjacent side is the distance from the bottom of the flagpole to the woman's position. We can set up the equation: tan(angle) = height/distance. Plugging in the values we know, we get tan(14) = 45/distance. Solving for distance, we find that the distance to the bottom of the flagpole from the woman's position is approximately 182.35 feet.