Question

Sheila plans to row across the lake from point A to point B as shown below. To determine how far she will have to row, she has chosen a point C and calculated the labeled data. How many miles will she have to row? Round your answer to two decimal places.

Answer 1

use the law of cosines.. do you know it?

Answer 2

nope

Answer 3

This is the law of cosines: \[\large c^2=a^2+b^2-2abcos(C) \]

where a and b are the given sdes and angle C is the included angle....

Answer 4

but how can i use that when i dont know a and b?

Answer 5

you have two given sides...

Answer 6

okay so so far i have =243.36 for both the sides

Answer 7

both sides?

Answer 8

yes?

Answer 9

\[\large c^2 = 12.3^2+15.6^2-2(12.3)(15.6)cos(56.7) \]

Answer 10

i got \[\large c^2=183.957 \]

Answer 11

i got a big number :/

Answer 12

so rounded to 2 decimal places is

Answer 13

wait... this is c^2 NOT c....

Answer 14

you want c....

Answer 15

so c is 91.9785

Answer 16

no... take the square root...

Answer 17

so 13.563074...

Answer 18

that's it...

btw... how are you supposed to do these problems if you're not familiar with the law of cosines?

Answer 19

so rounded to 2 decimal places is what?

no i do im just tired and have a lot of work

Answer 20

ok...

Answer 21

so rounded to two decimal places is 13.56?

Answer 22

@dpaInc

Answer 23

yes...:)

Answer 24

thank you! :)

Answer 25

yw...:)