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

Find the length of RX. PLEASE HELP ASAP! A.7.96 B.76.11 C.76.53-example-1
User Ira Re
by
8.4k points

1 Answer

4 votes

Answer:

B

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 = (8)/(RX)

Take the reciprocal of both sides:


\displaystyle (1)/(\tan6^\circ)= (RX)/(8)

Multiply both sides by 8:


\displaystyle RX = (8)/(\tan6^\circ)

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


\displaystyle RX\approx 76.1149

Hence, our answer is B.

User FrankS
by
9.1k points

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