Respuesta :
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
[tex]tan(40)=70/x[/tex]
[tex]0.83909963117=70/x[/tex]
[tex]0.83909963117x=70[/tex]
[tex]x=70/0.83909963117[/tex]
[tex]x=83.4227514823[/tex]
Where x is the length of the string in feet.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
[tex]tan(40)=70/x[/tex]
[tex]0.83909963117=70/x[/tex]
[tex]0.83909963117x=70[/tex]
[tex]x=70/0.83909963117[/tex]
[tex]x=83.4227514823[/tex]
Where x is the length of the string in feet.
