用度表示下列各角.
(1)37°36″;
(2)51°6′;
(3)15°24′36″.
解:(1)37°36″=37°+(
)′
=37°+0.6′
=37°+(
)°
=37°+0.01°
=37.01°;
(2)51°6′=51°+(
)°
=51°+0.1°
=51.1°;
(3)15°24′36″=15°24′+(
)′
=15°24′+0.6′
=15°+24.6′
=15°+(
)°
=15°+0.41°
=15.41°.
分析:(1)把36″除以60化为分,然后再除以60化为度即可;
(2)把6′除以60化为度即可;
(3)把36″除以60化为分,再和24′加在一起除以60化为度即可.
点评:本题考查了度分秒的换算,根据度分秒是60进制,下一个单位化为上一个单位,除以60进行计算即可,比较简单.