Mathematics: Find the length of RX. PLEASE HELP ASAP! A.7.96 B.76.11 C.76.53

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Find the length of RX. PLEASE HELP ASAP! A.7.96 - id796713982121, libertycooper

kenzietaylre

21.08.2021

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

$\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}$

Substitute:

$\displaystyle \tan6^\circ = \frac{8}{RX}$

Take the reciprocal of both sides:

$\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}$

Multiply both sides by 8:

$\displaystyle RX = \frac{8}{\tan6^\circ}$

Use a calculator (make sure you're in Degrees mode!):

$\displaystyle RX\approx 76.1149$

Hence, our answer is B.

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