## anonymous one year ago Does anyone know the answer to this word problem? Grace is standing 14 feet from a lighthouse and Kelly is standing 12 feet from Grace. The angle that Grace looks up to see the top of the lighthouse is 45°. The angle that Kelly looks up to see the top of the lighthouse is y°. a.find the height, h, of the lighthouse. b.Find the angle, rounded to the nearest tenth of a degree, in which Kelly looks up to the top of the lighthouse. c.To the nearest tenth of a degree, find the value of x° . In two or more sentences, explain your calculations

1. anonymous

do Pythagorean therom to find height

2. anonymous

oh sorry I know the height already I just dont know the formula

3. anonymous

... for the other two

4. anonymous

a2+b2=c2

5. anonymous

6. AkashdeepDeb

|dw:1434409325087:dw|

7. AkashdeepDeb

x + y + 135 = 180 [ASP of a triangle] x + tan^(-1) 7 + 135 = 180 x = 180 - ( 135 + tan^(-1) 7 )

8. anonymous

|dw:1434409514062:dw|

9. anonymous

the calculator have me this for your formula 0.4877325886

10. anonymous

gave*

11. anonymous

for which value? and is your calculator in degree mode?

12. AkashdeepDeb

Yes. And that's absolutely correct. Because that is in radians and your question's measure of angle is in degrees.

13. anonymous

so y = 48 then

14. anonymous

no. what did you enter?

15. anonymous

did you do $\tan^{-1} \frac{ 14 }{ 26 }$

16. anonymous

oh no I just did reg tan

17. anonymous

87.7 degrees

18. anonymous

It seems like you're not entering something right on your calculator. http://www.wolframalpha.com/input/?i=tan^-1%2814%2F26%29

19. anonymous

idk I will just use that calculator from now on

20. anonymous

ok, so y = 28.3°

21. anonymous

|dw:1434410282665:dw|

22. anonymous

yup I just did that, thanks for your help

23. anonymous

you're welcome