Final answer:
To find the length of t in triangle TUV, use the law of sines with the given values.
Step-by-step explanation:
To find the length of t in triangle TUV, we can use the law of sines. The law of sines states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. In this case, we can use the formula:
t / sin(T) = u / sin(U), where T and U are the angles opposite sides t and u respectively.
Substituting the known values, we have:
t / sin(29°) = 47 inches / sin(38°)
Solving for t, we can cross-multiply and divide:
t = (47 inches * sin(29°)) / sin(38°)
Using a calculator, the length of t is approximately 60 inches.