Find the m a.) 10 degrees
b.) 15 degrees
c.) 60 degrees
d.) 30 degrees

Option D) that is m∠F = 30°

Step-by-step explanation:

As it's a right angle triangle so we will use rules of trigonometry and pythagorus theorem

The tangent of the angle = the length of the opposite side /

                                              the length of the adjacent side

Hypotenuse² = height² + base²

Hypotenuse² = height² + base²

18² = 9² + base²

base² = 18² - 9²

FO² = 243

FO = √243

FO = 9√3

Tan z° = opp / adj

tan(m∠F) = 9 / 9√3

m∠F = tan^-1 (9 / 9√3)

m∠F = tan^-1 (√3/3)

m∠F = 30°