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)
這時AC=
x | ||
|
45 | ||
|
答:塔高BC為45米,大樓與塔之間的距離AC約是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 | ||
|