Answer: X = 5.0
Step-by-step explanation:
- since these are right triangles you can use trigonometry to solve this pretty easily
- for this situation, you only have to use sine/sin
- sine/sin is [tex]opposite/hypotenuse[/tex]
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- to start you just need to identify which side is which:
- the side that is labeled 10 is the hypotenuse
- in this case, the shared side is the opposite since you're using sin
- so, for this problem the equation is: [tex]10xSin(45) = 7.071067812[/tex]
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- so 7.071067812 is the hypotenuse of the smaller triangle so you just do the same thing again
- start with identifying which side is which:
- as said, the side that is shared and 7.071067812 is the hypotenuse
- the side labeled x is the opposite
- so for this part, the equation is: [tex]7.071067812xSin(45) = 5.0[/tex]
- so X = 5.0
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hope this helps :)
