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

Analyze The Diagram Below And Complete The Instructions That FollowSolve Triangle EFD Round The Answers To The Nearest Hundredth class=

Sagot :

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

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