Find the value of x. Round the length to the nearest tenth.

Question

anonymous · Answer

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anonymous · Answer

a. 321.4 m	
	b. 595.9 m	
	c. 652.7 m	
	d. 777.9 m

snowsurf · Answer

In your diagram the dot line can be treated as a parallel line. If you do that, then the hypotenuse of the triangle can be treated as a traverse line. Then from geometry a transverse opposite interior angles are equal. So the triangle would have 40 degrees. 
500 m is the opposite side and you want to find x which is the hypotenuse of the right triangle.

So using trig functions we can use $$xsin(\theta) =500$$ Now just solve for x and plug in 40 degrees.$$x =\frac{ 500 }{ \sin(40)}$$$$x = 777.9 $$. So you will have x = 777.9 m.

anonymous · Answer

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