有一道三角难题，请帮助解答

Question

请解答一道三角题，多谢。请写出过程（演算）。
Lisa and Bart stand on opposite sides of a flagpole. From Lisa's position, the angle of elevation to the top of the pole is 32 degrees. From Bart's position, the angle of elevation to the top of the pole is 43 degrees. Who is closer to the pole? Explain clearly how you know.

Answer 1

解：设旗杆高为h，Lisa到旗杆的距离为a，Bart到旖杆的距离为b，则依题意得
h=tan32*a
h=tan43*b
=>tan32*a=tan43*b
=>a/b=tan43/tan32
由tan43>tan32得
a>b
=>Bart离旗杆的距离比较近。
希望能帮到你。