Answer
$T_1=48.83 N$
Work Step by Step
We know that:
$cos\phi=\frac{base}{hypotenuse}$
Using the given figure, we obtain:
$cos\phi=\frac{vertical force}{T_1}$
or $T_1=\frac{vertical force}{cos\phi}$
Plugging in the known values, we find:
$T_1=\frac{40}{cos35^{\circ}}$
$T_1=48.83 N$