Two Forest Ranger stations are located 9.8 miles apart. They both receive the same distress call. They determine that from Ranger Station 1 the distress call is at an angle of 46° and from Ranger Station 2 it is at angle of 52°. Which ranger station is closer to the distress call and by how much?

Ranger station 2 is closer by 3.47 miles

Step-by-step explanation:

tan(46)=O/9.8

O (ranger station 2 to distress call)=10.15 miles

sin(46)=9.8/H

H (ranger station 1 to distress call)=13.62 miles

13.62-10.15=3.47 miles

So, ranger station 2 is closer by 3.47 miles

i understand 100% 10/10 hit or miss?

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".