Q:

Which equation finds the value of x in the triangle below?

Accepted Solution

A:
we have that
1) cot 70=x/12 Cot 70=[opposite side]/[adyacent side]=x/12 The option 1 is correct 2) cot 70=12/x Cot 70=[opposite side]/[adyacent side]=x/12 The option 2 is not correct 3)sec 20=x/12 Sec 20 =1/cos20 Cos 20==[opposite side]/[hypotenuse]=12/z 1/(1/cos20)-------> 1/(12/z)------> z/12 The option 3 is not correct  
4) sec 20=12/x Sec 20 =1/cos20 Cos 20==[opposite side]/[hypotenuse]=12/z 1/(1/cos20)-------> 1/(12/z)------> z/12 The option 4 is not correct
the correct value is
1) cot 70=x/12