Answer:
t/sin T = r/sin R
where T and R are the measures of the opposite angles of t and r, respectively.
First, we need to find the measures of T and R in radians:
T = 48° * pi/180 = pi/4
R = 37° * pi/180 = 37 * pi/180
Next, we can use these values in the formula:
t/sin T = r/sin R
t = r * sin T / sin R
t = 71 * sin(pi/4) / sin(37 * pi/180)
Using a calculator, we can estimate t to the nearest 10th of a centimeter:
t ≈ 107.9 cm
So the length of t is approximately 107.9 cm to the nearest 10th of a centimeter.