a girl who is standing 92 ft away from a building looks up at a angle of 86 degrees at a bird on the top of a building. What is the height, from the ground, to the bird on the top of the building ?

To find the height of the bird on top of the building, we can use trigonometry. In this case, we have the length of the side adjacent to the angle (the distance from the girl to the building) and we want to find the length of the side opposite to the angle (the height of the bird).

Using the tangent function, we have:
tan(angle) = opposite/adjacent.

Let's substitute the known values into the equation:
tan(86 degrees) = opposite/92 ft.

Now we can solve for the opposite:
opposite = tan(86 degrees) * 92 ft.

Using a scientific calculator or an online trigonometry calculator, we can find the tangent of 86 degrees: tan(86 degrees) = 26.955.

Now we can substitute this value back into the equation:
opposite = 26.955 * 92 ft.

Calculating this, we find the opposite side (height) to be approximately 2474.26 ft.

Therefore, the height from the ground to the bird on top of the building is approximately 2474.26 ft.