100 point to whoever answers! If segment FD = 45 units and segment DE = 60 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 22.62

B 28.44

C 41.41

D 61.39

C

Step-by-step explanation:

Please see attached picture for full solution.

41.41

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta =adjacent / hypotenuse

cos a = FD/DE

cos a = 45/60

Taking the inverse of each side

cos ^-1 ( cos a) = cos ^-1 (3/4)

a =41.40962211

Rounding to the nearest hundredth

41.41