Question

Pleas answer correct answer

Answer 1

Answer:

6.6 miles

Step-by-step explanation:

due to the construction with the 3 parallel lines, the two crossing lines create 2 similar triangles (same angles and all side lengths and all other lines are all determined by the same multiplication factor going from one triangle to the other).

so,

LM = KL × f

MP = HK × f

HL = LP × f

KL = LM × f

and so on.

and then, also

JL = LN × f

the other thing we know due to the construction (L will always be connected with the middle of HK and MP) : the triangles are isoceles triangle (2 equal sides). in fact, because HK = HL = 2 miles, and it is an isoceles triangle, we also know that KL = 2 miles too.

so, we have

KL = LM × f

2 = 6 × f

f = 2/6 = 1/3

and therefore

JL = LN × f

2.2 = LN × 1/3

LN = 2.2 / 1/3 = 2.2 × 3/1 = 2.2 × 3 = 6.6

so, LN is 6.6 miles long.