## tahtah99 3 years ago two birds sit at the top of two different trees 17.8 feet away from one another. The distance between the first bird and a bird watcher on the ground is 37.4 feet. What is the angle measure, or angle of depression, between this bird and the bird watcher?

1. sunsetlove

2. sunsetlove

r u in flvs

3. tahtah99

yess i am . do you know it?

4. sunsetlove

holed on

5. tahtah99

allright :)

6. sunsetlove

17.8

7. sunsetlove

hold on

8. sunsetlove

Height of bird = 17.8 True (slant) distance from watcher to bird = 37.4 Angle theta = asin(17.8/37.4=28.4 degree

9. sunsetlove

dose that help

10. tahtah99

omg yes ! thank you :) did u pass this test? hah

11. sunsetlove

ya i think

12. sunsetlove

do u know how to give medles

13. tahtah99

i dont understand anything in it.

14. sunsetlove

it can help

15. tahtah99

i only have like 4 more .

16. sunsetlove

if u want just ask and i will

17. tahtah99

A lamppost casts a shadow 44 feet long. The angle measure of the shadow is 33°. How tall is the lamppost to the nearest tenth of a foot?

18. sunsetlove

hold on

19. sunsetlove

h/a

20. tahtah99

whats h/a ?

21. sunsetlove

52.46

22. Hero

|dw:1325123708432:dw|

23. sunsetlove

it is COS

24. tahtah99

your like saving my life. haha can you answer one more ?

25. sunsetlove

h is hypotenuse and a is adjacent

26. sunsetlove

yes

27. tahtah99

Using ∡C of △CBA shown below, create three different trigonometric ratios using sine, cosine, and tangent. You will need to create your own angle and side measures for this task. For full credit, please provide both the ratio and work used to solve for a missing piece of the triangle. Round all solutions to the nearest hundredth.

28. Hero

You can create your own triangle

29. Hero

Actually, you should probably draw the triangle first

30. sunsetlove

got to my profile and look for the same ? every thing is there

31. sunsetlove

did it help

32. Hero

I don't know why she didn't just draw the triangle

33. Hero

34. tahtah99

hahaha shush. idk how i would word it though. there was so much going on

35. sunsetlove

press draw its under ur box to tipe in |dw:1325124389359:dw| like this

36. Hero

|dw:1325124435420:dw|

37. tahtah99

|dw:1325124401522:dw|

38. Hero

good job

39. sunsetlove

|dw:1325124444889:dw|

40. Hero

You could have made it look a little prettier than that sunset

41. tahtah99

its beautiful .. belongs in a museum

42. sunsetlove

yes now 3^2 + 4^2 sholed = the other side

43. Hero

Okay sunset :D

44. tahtah99

whats the three different trigonometric ratios using sine, cosine, and tangent?

45. Hero

Well, if we use sunset's approach:

46. sunsetlove

cos is a/h

47. Hero

|dw:1325124890880:dw|

48. sunsetlove

tan is o/a and sin is o/h

49. sunsetlove

dont use the ABC ONES they change if the tryangle is BAC or CAB use what i put

50. Hero

She has to use them because they are part of the problem. It has to be in terms of triangle CBA

51. sunsetlove

no afince Hero but i tryed doing it that way and it mest me up

52. Hero

It doesn't mess everyone up

53. sunsetlove

ok but remember it dont always aply just with this problim

54. tahtah99

lol im so confused on this part here For full credit, please provide both the ratio and work used to solve for a missing piece of the triangle. what should i put for that ? it has to be in words

55. Hero

tahtah, I know you're taking a test

56. tahtah99

ik you know im taking a test.

57. sunsetlove

ok you have to fined the tangent , cosine, and sine

58. Hero

You have to find the angles tahtah

59. sunsetlove

sine is opposite/hypotenuse

60. sunsetlove

61. tahtah99

how do i find the angles ? i understand the cos and sin thingy now.

62. Hero

you have to take the inverse of the ratios

63. sunsetlove

64. sunsetlove

u fined the angles using sin cos and tan

65. Hero

sunset, she has to take the inverse of those ratios

66. sunsetlove

yes my bad but its still using it

67. Hero

$\sin^{-1}(\frac{3}{5})$

68. sunsetlove

yes

69. Hero

$\cos^{-1}(\frac{4}{5})$

70. Hero

$\tan^{-1}(\frac{3}{4})$

71. sunsetlove

trust hero hes smart

72. tahtah99

thank you :) your smart too sunset.

73. sunsetlove

thank u good luck

74. tahtah99

so i just solve that & it will be the angle?

75. Hero

You have to find the other two angles

76. Hero

Once you find angle A, you can use the sums of triangles = 180 rule to find the remaining angle.

77. tahtah99

mmm would it be .64?

78. Hero

make sure you're in DEGREES, not radians

79. tahtah99

ahhh . so 64 degrees? haha

80. Hero

Just make sure your calculator is in degrees first.

81. tahtah99

omg now i got .92 ik thats wrong. i see why my teachers hate me

82. Hero

:/

83. tahtah99

if you just get me the angle for A i can do the rest.

84. Hero

A = 36.87

85. tahtah99

saved me. thanks so much man : )

86. Hero

You should probably figure out how to use your calc. You're lucky you get to do your test at home. Not every student is so lucky.

87. tahtah99

i know :| geo. just isnt my thing

88. Hero

It could be if you wanted it to be

89. felixsalter

hold on, where's the answer for the original equation?