Question

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

Answer 1

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.