Step 
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem

we have

substitute the values



Step 
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that

Step 
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that




solve for AC

Step 
<u>Find the length of the segment DC</u>
we know that

we have


substitute the values


Step 
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem

we have

substitute the values



therefore
<u>the answer is</u>

Answer:50
Step-by-step explanation:
Hey there!
m(4 + 7)
= 1m(4 + 7)
DISTRIBUTE m WITHIN the PARENTHESES
= m(4) + m(7)
= 4(m) + 7(m)
= 4(1m) + 7(1m)
= 4m + 7m
COMBINE the LIKE TERMS
= 11m
Therefore, your answer is: 11m
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)