在Rt△ABC中,tan∠BAC=
| BC |
| AC |
∴AC=
| BC |
| tan∠BAC |
| x |
| tan600 |
| x | ||
|
在Rt△BDE中,tan∠BDE=
| BE |
| DE |
∴DE=
| BE |
| tan∠BDE |
| x-30 |
| tan30° |
| 3(x-30) | ||
|
∵AC=DE,
∴
| x | ||
|
| 3(x-30) | ||
|
解,得x=45(m),(8分)
这时AC=
| x | ||
|
| 45 | ||
|
答:塔高BC为45米,大楼与塔之间的距离AC约是25.98米.(11分)
| 3 |
| 2 |

| BC |
| AC |
| BC |
| tan∠BAC |
| x |
| tan600 |
| x | ||
|
| BE |
| DE |
| BE |
| tan∠BDE |
| x-30 |
| tan30° |
| 3(x-30) | ||
|
| x | ||
|
| 3(x-30) | ||
|
| x | ||
|
| 45 | ||
|