Question

Peter needs to find the distance across the pond shown in the diagram. He starts from point C and walks 200 meters to point B. Then he turns 105º and walks 180 meters to reach point A at the other side of the pond. The approximate distance across the pond is meters.

Answer 1

PLATO USERS: the question asks for you to round to the nearest integer so the answer is 232. Plato is very picky so you have to enter 232 and not 231.87 or you'll get it wrong,

Explanation:

i just took the test and got 5/5 correct

Answer 2

c=231.87 m

Explanation:

When we read this example we can see that Peter will form triangle with those sides :

a=200 m,

b=180 m

cos X=cos (180-105)=cos75

x is angle.

Now, we can use this rule :

`c^(2) =a^2+b^2-2abcosX`

Now, let's evaluate :

`c^(2) =200^(2) +180^(2) -200*180cos75\\c^2=40000+32 400-18 645\\c^2=53765\\c=231.87 m`