tan(V) rounded to the nearest hundredth is 0.29.
To find the value of tan(V), we need to know the ratio of the opposite side to the adjacent side of triangle V.
The opposite side is the length of side TV, which is 14.
The adjacent side is the length of side VT, which is 48.
Therefore,
tan(V) = 14/48.
To round tan(V) to the nearest hundredth, we first need to convert it to a decimal.
Using a calculator, we find that tan(V) = 0.291667. To round this number to the nearest hundredth, we look at the third digit after the decimal point, which is a 6.
Since 6 is greater than or equal to 5, we round the second digit up, from a 2 to a 3.
Therefore, tan(V) rounded to the nearest hundredth is 0.29.