Find the value of tan M rounded to the nearest hundredth, if necessary.

Answer:
36.9
Step-by-step explanation:
Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.
40 is the hypothenuse because it is directly across from the right angle.
[tex]a^2 + 24^2 = 40^2[/tex]
[tex]a^2[/tex] = 32
Tan is opposite over hypothenuse.
Tan M = 36.9