first you have to find side oposite and the hyp. I converted meters to inches you can convert back to meters
Tangent of 57 degree is 1.539864964 times adj. 314.953125 inches =side opp. or 484.9852825 inches
asj side squared =99195.47095 plus opp side squared =235210.7242 =sum of 334406.1952 square root of this sum is 578.2786484" which is the length of hyp. side.
SOH sine of 57 devide opp.484.9852825 by hyp. 578.2786484 = .838670568 or sine of 57
CAH cosine of 57 devide adj. 314.953125 by hyp. 578.2786484 = .544639035 or cosine of 57
TOA Tangent of 57 devide opp 484.9852825 by adj 314.953125 = 1.539864964 or tangent of 57
Rustynut "just getting by"
Don't go converting anything - Rustynut is just trying to make it look harder than it really is. :))
SOH-CAH-TOA
you have the adjacent and you want to find the hypotenuse So you need A and H
Must be CAH
$$\\cos57= \frac{8}{H}\\\\
\frac{cos57}{1}= \frac{8}{H}\\\\
\frac{8}{H}=\frac{cos57}{1} \\\\
$You want the unknown to be on the top$\\\\
\frac{H}{8}=\frac{1}{cos57} \\\\
H=\frac{1}{cos57}\times 8 \\\\
H=\frac{8}{cos57} \\\\
H=8\div cos57 \\\\$$
$${\frac{{\mathtt{8}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{57}}^\circ\right)}}} = {\mathtt{14.688\: \!627\: \!670\: \!214\: \!035\: \!6}}$$
same answer when converted to meters just an easier way of doing it for me. most all measuring tool I come across is usualy marked in inches or mm. inches are used in every day life and square root is a much easier method and easier to learn and understand than all the formulas, just a personal preferance nothing wrong with the way you are working out the solution but maybe a different approach may ring a bell with someone that does not understand all the formulas. I think it is realy nice we have people like you that does understand algerbra. I dont intend to change your thinking or method just trying to ring a bell with someone as I was in a three day class. I had a geomerty teacher in High school that knew geo. inside out but failed to get the point across . In latter years I went to a three day class and learned more about right angles than I did in a year of geo. the teacher in the three day class made it so simple without having to know anything about algerbra. It just takes a little common sence and a will to learn what you need to get through life. Thanks Melody just on this site trying to learn a little and have already got some good info. keep up the good work. God Bless and have a happy life
Rustynut
well Rustynut,
I appologise, I thought your were just trying to make it complicated.
Converting to inches and then back again really is a most awkward way of doing it but if it works for you that is fine.
I would not do it your way anyhow but I am Australian, we have not used feet and inches on a general basis since about 1970 so converting from metres to inches (unnecessarily) would never make sense to me. :))