Answer:

Step-by-step explanation:
Firstly we've to find the hypotenuse of the first triangle:
<u>In the first triangle, for the angle 45: </u>
Adjacent = 10
Hypotenuse = ?
Using cos for it.
Cos 45 = adjacent / hypotenuse
0.707 = 10 / hyp
hyp = 10 / 0.707
hyp = 14.14
The hypotenuse of the first triangle is actually the base (or opposite) of the triangle.
Also, hypotenuse = x and angle is 60 degrees.
<u>So, we will use the sin ratio.</u>
sin 60 = opposite / hypotenuse
0.866 = 14.14 / x
x = 14.14 / 0.866
x = 16.3
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
The distance from city C to city D is 4,814 miles.
Answer:
x + 6x+10 + x+2 = 180
x = 21
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x + 6x+10 + x+2 = 180
Combine like terms
8x + 12 = 180
Subtract 12 from each side
8x+12-12 = 180-12
8x =168
Divide each side by 8
8x/8 = 168/8
x =21
Answer:
4(5-x)
Step-by-step explanation:
6x-10x+20 4(5-x)
-4x+20 20-4x
and those two are both equivalent