Question

express tan t as a fraction in simplest terms.
triangle with right angle at u, sides: tv=7, tu=6
answer
tan t = blank submit answer

Explanation:

Step1: Recall tangent definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$.

Step2: Identify sides for $\angle T$

In right $\triangle TUV$, opposite side to $\angle T$ is $UV = 6$, adjacent side is $TU = 7$.

Step3: Substitute values into formula

$\tan T = \frac{6}{7}$

Answer:

$\frac{6}{7}$