Question

Analyze the diagram below and complete the instructions that follow.Solve triangle EFD. Round the answers to the nearest hundredth

Answer 1

Step 1

Find FD using Pythagoras theorem stated as

`(FD)^2=(FE)^2+(ED)^2`

FE = 80

ED = 39

Step 2

Substitute in the values and find the value of FD

`\begin{gathered} FD=\sqrt[]{80^2+39^2} \\ FD\text{ = }\sqrt[]{7921} \\ FD=89 \end{gathered}`

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