Answer:
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
<h3>First we need to find length FO using pythagorus</h3>
Hypotenuse² = height² + base²
18² = 9² + base²
base² = 18² - 9²
FO² = 243
FO = √243
FO = 9√3
<h3>m∠F</h3>
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°
