Answer:
Step-by-step explanation:
To find the distance Lin is standing away from the base of her high school building, we can use trigonometry.
We are given that the height of the building is 44 feet and Lin is looking up at an angle of 71.2 degrees to the top of the building. Let's call the distance Lin is standing away from the base of the building "x" feet.
We can use the tangent function, which relates the opposite side (height of the building) to the adjacent side (distance from the base of the building):
tan(angle) = opposite / adjacent
In this case, the opposite side is the height of the building (44 feet), and the adjacent side is the distance from the base of the building (x feet). We can set up the equation as follows:
tan(71.2 degrees) = 44 / x
To find x, we can rearrange the equation:
x = 44 / tan(71.2 degrees)
Now, we can calculate the value of x using a calculator:
x ≈ 15.66 feet
Therefore, Lin is standing approximately 15.66 feet away from the base of her high school building.
