## anonymous one year ago Need some help for this.. A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’s base. How far up the wall does the ladder reach? Show your work. Round answer to the nearest hundredths.

1. Mehek14

|dw:1437932114293:dw| do you know the pythagorean theorem?

2. anonymous

a^2+ b^2 = c

3. Mehek14

|dw:1437932176201:dw| $$a^2+b^2=c^2$$

4. Mehek14

you have a and c $$3^2+b^2=10^2$$

5. Mehek14

tell me what $$3^2=\\10^2=$$

6. anonymous

9 and 100

7. Mehek14

ok subtract 100-9

8. anonymous

91

9. Mehek14

$$\sqrt{91}$$

10. anonymous

Oh. can't make a radical symbol.

11. Mehek14
12. anonymous

$10 \sin \left(\cos ^{-1}\left(\frac{3}{10}\right)\right)=\sqrt{91}$

13. anonymous

Okay thanks @Mehek14

14. Mehek14

15. anonymous

How do i round √91?

16. Mehek14

well if you put √91 in the calculator, you get 9.53939201417 round that to 9.54

17. anonymous

Oh didn't put it in a calculator thanks for telling me that XwX

18. anonymous

So i am finish @Mehek14?

19. Mehek14

yes 9.54 is the final answer

20. anonymous

Okay thanks @Mehek14

21. Mehek14

yw