Answer:
x = 24.99 or 25
Step-by-step explanation:
<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
<em>Now we can use tan to figure out the length of segment DC.</em>
tan(78.46) = z/√24
z = 23.99
<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>
1 + 23.99 = 24.99 or <u>about</u> 25.
6 divided by 11 equals 0.5454545454545455
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