If segment fd = 30 units and segment fe = 55 units, what is the value of a? round the solution to the nearest hundredth. triangle def in which angle f is a right angle, angle d measures a degrees, and angle e measures b degrees

a=61.39°

Step-by-step explanation:

we know that

In the right triangle DEF

The tangent of angle a is equal to divide the opposite side to angle a (FE) by the adjacent side to angle a (FD)

tan(a)=FE/FD

substitute the given values

tan(a)=55/30

a=arctan(55/30)

a=61.39°

12cm

the answer is d