Find the value of x. Round the length to the nearest tenth
A.) 9.0 yd
B.) 15.6 yd
C.) 31.2 yd
D.) 10.4 yd
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Answer:
D.) 10.4 yd
Step-by-step explanation:
In the given figure the alternate angles are equal and hence a right angle triangle with one of its angle as 30 degree is formed .
For angle 30 degrees adjacent side is 18 yard and opposite side is x.
Tan of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex]
[tex]Tan 30=\frac{x}{18}[/tex]
x=Tan 30 (18)
x= 10.39
x= 10.4 yard (rounded to tenth place)
Option D is the right answer.