Question

Determine the value of x.​

Answer 1

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

Answer 2

$\huge\text{Hey there!}$

$\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}$

$\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = \dfrac{16}{x}}}}}$

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

$\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}$

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

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

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

$\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}$

~$\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}$