## Mirandaregina one year ago How do I go about answering this question? (Image attached)

1. Mirandaregina

2. Mirandaregina

The choices are A) 4.0 B) 4.2 C) 3.4 D) 3.8

3. triciaal

|dw:1437422210485:dw|

4. triciaal

review sum of angles in a triangle = 180 tan of angle = opposite/ adjacent

5. triciaal

|dw:1437422495739:dw|

6. anonymous

$\text{Solve}\left[\tan (42 {}^{\circ})=\frac{8 \tan (52 {}^{\circ})}{x+8}\right]$$x\to 3.37215$

7. triciaal

|dw:1437422916376:dw|

8. triciaal

|dw:1437423184887:dw|

9. Mirandaregina

@triciaal I got 3.37215

10. triciaal

now round to 1 decimal place

11. triciaal

look at the 2nd decimal if 5 or more add 1 to 1st decimal if less than 5 you drop

12. Mirandaregina

@triciaal 3.8, so the answer is D. Thank you for taking the time to explain this to me :) I appreciate it

13. Mirandaregina

@robtobey also, thank you for your input as well!

14. triciaal

welcome