Find Tan0 where 0 is the angle shown. Give an exact value, not a decimal approximation.

Step-by-step explanation:

√39 / 5

Step-by-step explanation:

Find Tan Ф where Ф is the angle shown.

Since the tangent function is defined as opp side / adj side, we'll need to find the length of the opp (vertical) side to answer this question.

We do this through use of the Pythagorean Theorem:

8² = opp² + 5², or 64 = opp² + 25.  Then opp² = 64 - 25 = 39, and

opp = √39.

Then the tangent of the angle shown is

             opp       √39

tan Ф = =

              adj           5

i would need to see the dot plot : )