配套习题- 应用解直角三角形的知识解决仰角相关问题 -【青果学院】

1/5单选题

难度：

1.

如图，两建筑物AB和CD的水平距离为30米，从A点测得D点的俯角为30°，测得C点的俯角为60°，则建筑物CD的高为（）米

A	20√3 米
B	10米
C	15米
D	5米

正确答案：QQ==

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

2/5单选题

难度：

2.

如图，在高楼前D点测得楼顶的仰角为30°，向高楼前进60米到C点，又测得仰角为45°，则该高楼的高度为

（　　）米.

A
B	30（）
C	30（）
D	60（）

正确答案：Qw==

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

3/5单选题

难度：

3.

如图，某飞机于空中A处探测倒地面目标B，此时从飞机上看目标B的俯角α=30°，飞行高度AC=1200米，则飞机到目标B的距离AB为（　　）

A	1200米
B	2400米
C	400米
D	1200米

正确答案：Qg==

PGRpdj7op6PvvJrlnKhSdOKWs0FCQ+S4re+8jOKIoEFCQz3iiKDOsT0zMMKw77yMQUM9MTIwMO+8jDxicj7iiLRBQj0yQUM9MjQwMO+8iOexs++8iS48YnI+5pWF6YCJQi48L2Rpdj4=

4/5单选题

难度：

4.

如图，从A处观测C处的仰角为30°，从B处观测C处的仰角为45°，则从C处观测A、B两处的视角∠ACB为（　　）

A	15°
B	30°
C	45°
D	60°

正确答案：QQ==

PGRpdj7op6PvvJrnlLHkuo7ku45B5aSE6KeC5rWLQ+WkhOeahOS7sOinkuS4ujMwwrDvvIzku45C5aSE6KeC5rWLQ+WkhOeahOS7sOinkuS4ujQ1wrDvvIw8YnI+5YiZ4oigQT0zMMKw77yM4oigQ0JEPTQ1wrAuPGJyPuKIoEFDQj3iiKBDQkQt4oigQT00NcKwLTMwwrA9MTXCsC48YnI+5pWF6YCJQS48L2Rpdj4=

5/5单选题

难度：

5.

如图，在300m高的峭壁上测得一塔的塔顶与塔基的俯角分别为30°和60°，则塔高CD为（　　）

A	200
B	300
C	150
D	250

正确答案：QQ==

PGRpdj7op6PvvJrlu7bplb9DROS6pOi/h0HnmoTmsLTlubPnur/kuo7ngrlFLjxicj7iiLXlnKgzMDBt6auY55qE5bOt5aOB5LiK5rWL5b6X5LiA5aGU55qE5aGU5Z+655qE5L+v6KeS5YiG5Yir5Li6NjDCsC48L2Rpdj48ZGl2PuKItEJDPTxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy80QS9yQkFDRTFNTVZEQ2liR0lyQUFBQmJFTXJjdmMzMTgucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzIzLzRBL3JCQUNFMU1NVkRDaWJHSXJBQUFCYkVNcmN2YzMxOC5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSIxNyI+PC9kaXY+PGRpdj7mmJPlvpdBRT08aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNEEvckJBQ0UxTU1WRENpYkdJckFBQUJiRU1yY3ZjMzE4LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy80QS9yQkFDRTFNTVZEQ2liR0lyQUFBQmJFTXJjdmMzMTgucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTciPu+8jENFPUFCPTMwMC48YnI+4oi15ZyoMzAwbemrmOeahOWzreWjgeS4iua1i+W+l+S4gOWhlOeahOWhlOmhtueahOS/r+inkuWIhuWIq+S4ujMwwrDvvIzkuJRCQz08aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNEEvckJBQ0UxTU1WRENpYkdJckFBQUJiRU1yY3ZjMzE4LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy80QS9yQkFDRTFNTVZEQ2liR0lyQUFBQmJFTXJjdmMzMTgucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTciPjwvZGl2PjxkaXY+4oi0REU9MTAwPGJyPuKItENEPTIwMC48YnI+5pWF6YCJQS48L2Rpdj48ZGl2PjxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8xMi9COS9yQkFDRkZNVUtDaURIejdxQUFBV2pXM18xOTA4NzMucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzEyL0I5L3JCQUNGRk1VS0NpREh6N3FBQUFXalczXzE5MDg3My5wbmciIGFsdD0iIiBzdHlsZT0id2lkdGg6IDEyM3B4OyBoZWlnaHQ6IDE1MHB4OyI+PGJyPjwvZGl2PjxkaXY+4oCLPC9kaXY+