+0  
 
0
1122
1
avatar

What is tan60= 35/x simplified?

 Apr 6, 2017
 #1
avatar+9479 
+3

To solve for x:

\(\tan 60^{\circ}=\frac{35}{x} \\~\\ \frac{\sin60^{\circ}}{\cos60^{\circ}}=\frac{35}{x}\)

 

You can look at a unit circle to get exact values for sin60º and cos60º .

\(\frac{\frac{\sqrt3}{2}}{\frac12}=\frac{35}{x} \\~\\ \frac{\sqrt3}{2}*2=\frac{35}{x} \\~\\ \sqrt3=\frac{35}{x} \\~\\ x=\frac{35}{\sqrt3} \\~\\ x=\frac{35\sqrt3}{3}\)

 Apr 6, 2017

1 Online Users