Question

A woman is standing 85 m from her apartment building. If she lives on the 5th floor, approximately 17.5 m

above the ground, at what angle would she have to look up to see her cat in the window?

Answer 1

To find the angle at which the woman needs to look up to see her cat in the window of her apartment building, we can use trigonometry. By treating the situation as a right triangle and using the tangent function, we can find that the angle is approximately 11.8 degrees.

Step-by-step explanation:

To find the angle at which the woman needs to look up to see her cat, we need to use trigonometry. The distance from the woman to her apartment building is 85 m, and she lives on the 5th floor, which is approximately 17.5 m above the ground. We can consider this as a right triangle, where the distance from the woman to the cat's window is the hypotenuse, the height of the building is the opposite side, and the distance from the woman to her apartment building is the adjacent side.

We can use the tangent function to find the angle:

Tan(angle) = opposite / adjacent

Tan(angle) = 17.5 m / 85 m

Angle = arctan(17.5 m / 85 m)

Using a calculator, we find that the angle is approximately 11.8 degrees