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Sagot :
Answer:
x = 4.59
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 74 = 16/ x
x tan 74 = 16
x = 16/ tan 74
x=4.58792
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}[/tex]
[tex]\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = \dfrac{16}{x}}}}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{x tan 74 equals \bf 16}}}[/tex]
[tex]\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}[/tex]
[tex]\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}[/tex]
[tex]\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\ or \ 4.58 \ is \approx \underline{\underline{4.59}}}}}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark[/tex]
[tex]\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]
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