xxxnickslayer10111 xxxnickslayer10111

10-11-2022
Mathematics

Answered

In △DEF, what is the length of segment DF?

Right triangle DEF with DE measuring 45, angle F measures 60 degrees and angle E measure 90 degrees.

90
45radical 2
15radical 3
30radical 3

Answer :

kiwisinsabaugh kiwisinsabaugh

10-11-2022

Answer:

The length of segment DF is 90.

Step-by-step explanation:

Step 1: Draw and label ΔDEF

Step 2: Use the Law of Cosine to find the length of segment DF

[tex]cos(60)=\frac{45}{x}[/tex]
[tex]x cos(60)=45[/tex]
[tex]x=\frac{45}{cos(60)}[/tex]
[tex]x=90[/tex]

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