Question

Determine the value of x.​

Answer 1

`\huge\text{Hey there!}`

`\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{(Opposite)/(Adjacent)}}}}}`

`\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = (16)/(x)}}}}`

`\boxed{\boxed{\huge\textsf{x tan 74 equals \bf 16}}}`

`\boxed{\huge\text{x = }\boxed{\mathsf{(16)/(tan \ 74)}}}`

`\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}`

`\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\ or \ 4.58 \ is \approx \underline{\underline{4.59}}}}}}\huge\checkmark`

`\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark`

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`\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}`

Answer 2

x = 4.59

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