Solution
Step 1
Find FD using Pythagoras theorem stated as
[tex](FD)^2=(FE)^2+(ED)^2[/tex]FE = 80
ED = 39
Step 2
Substitute in the values and find the value of FD
[tex]\begin{gathered} FD=\sqrt[]{80^2+39^2} \\ FD\text{ = }\sqrt[]{7921} \\ FD=89 \end{gathered}[/tex]Step 3
Use trig ratio to find m
The trig ratio required to find the mToa written as
[tex]\begin{gathered} \text{TanF=}\frac{Opposite}{\text{adjacent}} \\ \text{opposite}=\text{ 39} \\ \text{adjacent = 80} \\ \text{TanF =}\frac{39}{80} \\ F\text{ = }\tan ^{-1}\frac{39}{80} \\ mStep 4
Use the law that the sum of angles in a triangle is 180° to find m
Therefore,
m
So that
25.99 + m
m
Therefore, comparing our answers with the available options the right answer is option B