I'm taking an Astronomy class which starts on the 27th of September. Since I'm terrible at Math, and frankly got anxious..I cracked my Astronomy book only to find math problems. Who would have thought? Anyway, I am asking you all for help.

In the chapter discussion of "Observational Measurements Using Angles" we are told and given the following formula: "

In general, the physical diameter of an object can be calculated from the equation:

physical diameter=distance x tan (angular diameter)

where tan (angular diameter) means the tangent of the angle denoted "angular diameter" In the Moon's case, using a measured distance of 384,400km and an angular diameter of 1/2ยก (<--degree), we find the diameter to be roughly 3350km.

Now...I realise for other people, they might know what the heck this means, but I for the life of me CANNOT replicate that answer. I typed in 384400 x tan (just pressing the tan key!), I've typed in 384400 x tan(180)...basically, what is tan? And what is the number for it, or how do I find it? I'm feeling VERY down on myself about this.

Please, any help would be appreciated!!

In the chapter discussion of "Observational Measurements Using Angles" we are told and given the following formula: "

In general, the physical diameter of an object can be calculated from the equation:

physical diameter=distance x tan (angular diameter)

where tan (angular diameter) means the tangent of the angle denoted "angular diameter" In the Moon's case, using a measured distance of 384,400km and an angular diameter of 1/2ยก (<--degree), we find the diameter to be roughly 3350km.

Now...I realise for other people, they might know what the heck this means, but I for the life of me CANNOT replicate that answer. I typed in 384400 x tan (just pressing the tan key!), I've typed in 384400 x tan(180)...basically, what is tan? And what is the number for it, or how do I find it? I'm feeling VERY down on myself about this.

Please, any help would be appreciated!!