Question

In △PQR, what is the length of QR ?

Answer 1

Once again you can use cosine.
\[\cos 45 = \frac{QR}{42}\]
\[21 \sqrt{2} = 29.698484809834996024835463208404 \]

Answer 2

Thanks SO much, you're helping me more than you know. is it ok if we do a few more?
i hate to be a bother?

Answer 3

I've got a bit of time, fire some away.

Answer 4

In △JKL, what is the length of KL?

Answer 5

Use tan, which is Opposite/Adjacent
\[\tan60=\frac{KL}{33}\]
\[33\sqrt{3}=57.157676649772950686405729269694\]

Answer 6

In △DEF, what is the length of ?

Answer 7

FE or FD?

Answer 8

FD, sorry about that

Answer 9

Use sine.
\[\sin60 = \frac{45}{FD}\]
\[30\sqrt3=51.961524227066318805823390245176\]

Answer 10

THANKS, do you think you can take anymore?

Answer 11

Try one of them out, they aren't very hard if you know your sine, cosines, and tangents.

Answer 12

In the figure below, the length of GE is 97sqrt 3 units and the length of BG is 149 units. What is the length of AC?

Answer 13

Determine AG.
\[\tan 60 = \frac{97\sqrt{3}}{AG}\]
\[AG=97\]
Subtract to find BA.
\[149-97=52\]
Then use cosine to find AC.
\[\cos 45=\frac{52}{AC}\]
\[AC=52\sqrt{2}\]