Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem

substitute the given values



simplify

step 2
In the right triangle ACD
Find the cosine of angle CAD

substitute the given values

----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC

substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross


step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem

substitute the given values



simplify

The forth picture is the one that represents 4.5
The <em><u>correct answer</u></em> is:
C.4.1 in
Explanation:
We will use a proportion for this problem.
In the first ratio, we have 6 inches: 80 pounds. This can also be written as 6/80.
For the second ratio, we do not know the length; this is x. The weight is 55; this gives us x/55.
This makes our proportion
6/80 = x/55
Cross multiplying, we have
6(55) = 80(x)
330 = 80x
Divide both sides by 80:
330/80 = 80x/80
4.125 = x
This means the answer is 4.1.