## mckenzieandjesus one year ago what is the tangent ratio for <h?

1. mckenzieandjesus

|dw:1435093915953:dw|

2. freckles

is H the same as h?

3. mckenzieandjesus

yes

4. freckles

ok do you know what side is not touching angle H (this is the opposite side) what measurement does this side have?

5. mckenzieandjesus

5?

6. freckles

yes the opposite side measurement is 5 now we just need to identify the adjacent side and it's measurement

7. freckles

the adjacent side is the side touching the angle (that isn't the hyp)

8. mckenzieandjesus

12?

9. freckles

that is right

10. freckles

11. freckles

for angle h that is :)

12. freckles

or H

13. freckles

since H=h

14. mckenzieandjesus

do i do 5/12

15. freckles

yep

16. mckenzieandjesus

it says 0.4166666667

17. freckles

I would leave it as just 5/12

18. freckles

are you suppose to round it ?

19. mckenzieandjesus

oh 5/12 is the answer lol

20. mckenzieandjesus

no lol

21. freckles

yes we already found the tangent of angle h earlier it look like you were trying to round the answer

22. mckenzieandjesus

Thank you!(: can u help me with one more?

23. freckles

maybe

24. freckles

:p

25. mckenzieandjesus

i thought u were telling me to divide the two lol

26. mckenzieandjesus

sorry got confused but the answer is 5/12

27. freckles

well 5/12 is a fraction or a division of 5 by 12 but 5/12 is as pretty as the answer will come for that one since it is a repeating decimal

28. freckles

but anyways what is your other qustion

29. mckenzieandjesus

yeah i see that now thanks

30. mckenzieandjesus

it is triangle ABC, AB= 3 and AC=9. Find M<B to the nearest degree.

31. freckles

is this another right triangle?

32. mckenzieandjesus

|dw:1435094633296:dw|

33. mckenzieandjesus

yes

34. freckles

|dw:1435094708365:dw|

35. mckenzieandjesus

i think

36. freckles

yes that is a right triangle (it has a 90 deg angle there)

37. mckenzieandjesus

ok

38. freckles

anyways can you identify the sides that are given with respect to the angle in question (that angle being B)

39. freckles

the words I want you to use are: opposite adjacent hyp

40. freckles

|dw:1435094797116:dw| what side is this in the picture?

41. mckenzieandjesus

opposite?

42. freckles

now you are suppose to be looking at the angle B and I'm asking about the side whose measurement is 3

43. freckles

that side is actually touching the angle in question

44. mckenzieandjesus

45. freckles

yes!

46. freckles

|dw:1435094881006:dw| now what about the side whose measurement is 9

47. mckenzieandjesus

ok so 3 adjacent and opposite 9 and hyp b?

48. freckles

the hyp is the side BC ( the hyp is the side always opposite the 90 deg angle)

49. freckles

but yes to your other questions

50. mckenzieandjesus

oh bc i ment

51. freckles

so we are given opp and adj measurements so I suggest using the tangent ratio again

52. mckenzieandjesus

3/9?

53. freckles

|dw:1435094982296:dw|

54. freckles

opp is 9 and adj is 3 not the other way around

55. mckenzieandjesus

oh so 9/3

56. freckles

57. mckenzieandjesus

do i divide?

58. freckles

amyways you want to solve that equation above and actually yeah it is pretty easy to find a prettier form for 9/3 we call that 3 tan(B)=3

59. freckles

now you want to solve for B

60. freckles

so take arctan( ) of both sides

61. freckles

$\tan(B)=3 \implies B=\arctan(3)$

62. mckenzieandjesus

how would i solve that on calculator?

63. mckenzieandjesus

my answer choices are 58, 18, 52, 72

64. freckles

well sometimes the arctan( ) can be done by pressing shift (or 2nd) and then the tan button

65. mckenzieandjesus

so put tan(3) then what?

66. freckles

no

67. freckles

arctan(3)

68. mckenzieandjesus

i dont have arctan on my calc

69. freckles

you should see arctan( ) above tan on your calculator

70. mckenzieandjesus

theres in above tan

71. freckles

like in maybe a different color

72. freckles

in?

73. freckles

what kind of calculator do you have?

74. mckenzieandjesus

yea the button says in

75. freckles

maybe I can find a picture of your calculator online and tell you how to use it

76. mckenzieandjesus

it says casio fx-115ES PLUS

77. mckenzieandjesus

OK

78. freckles

according to this calculator you should see arctan( ) above tan( ) they just call it $\tan^{-1}[ F]$ both of these are the inverse functions of tan they are the same function just different notation

79. freckles

it is below the Ln key that you call in

80. freckles

to access the tan^(-1) thing you need to press shift

81. mckenzieandjesus

got it

82. mckenzieandjesus

i got 79.5

83. mckenzieandjesus

oh it was ln not in oops

84. freckles

you did 3 then arctan( ) and you got 79.5?

85. mckenzieandjesus

79.51672353

86. freckles

you should do something like this: second tan 3 or it might be the other way on yours 3 second tan

87. freckles
88. mckenzieandjesus

it tan^-1 then 3

89. freckles

you should be getting 71.57 deg

90. mckenzieandjesus

weird.. nope i got that number above and i typed it in exactly that way..

91. mckenzieandjesus

92. freckles

yea but it is important you figure out your calculator

93. freckles

you might have to use it on a test

94. mckenzieandjesus

well i typed it in right.

95. freckles

so when you typed it all in it said this: \$\tan^{-1}(3)$

96. freckles

no other things in it

97. mckenzieandjesus

yep

98. mckenzieandjesus

without /

99. freckles

lol that is not suppose to be there

100. mckenzieandjesus

ok lol but yep thats what i typed

101. freckles

ok hmmm: I looked up your little support pdf for your calculator it says you should do this to find arctan(3): shift tan ) =

102. mckenzieandjesus

i did that too

103. freckles

104. mckenzieandjesus

help please? i believe its 35. A child lies on the ground and looks up at the top of a 17-ft tree nearby. The child is 14 ft away from the tree. What is the angle of elevation from the child to the top of the tree? Round to the nearest whole degree.

105. mckenzieandjesus

yeah thats really weird

106. mckenzieandjesus

107. mckenzieandjesus

actually i think i got that one but need help with my last question

108. freckles

ok if you insist

109. mckenzieandjesus

Find the value of x to the nearest tenth. 6.0 8.0 10.9 13.3 |dw:1435096370432:dw|

110. freckles

and I did get a different answer for that previous one

111. freckles

well you are given the hyp measurement so you can think about using either sin of cos

112. freckles

sin or cos*

113. freckles

let's look at the angle whose measurement is 53 deg

114. freckles

what is the side whose measurement is x called? choices: adjacent opposite hyp

115. mckenzieandjesus

cos i believe

116. mckenzieandjesus

you did what was it?

117. mckenzieandjesus

118. freckles

I have gotten arctan(17/14) for the previous one I wonder if you are getting something different again on your calculator for that and for this question |dw:1435096613252:dw| you can not call this adjacent (it isn't touching the angle that I asked you to look at)

119. mckenzieandjesus

for the child one? opposite sorry

120. freckles

yes and yes

121. freckles

let's talk about one problem at a time

122. freckles

we will come back to the child one (because you know it might get confusing )

123. freckles

|dw:1435096741024:dw| that one side is always the hyp no matter what angle we decide to look at

124. freckles

anyways opp/hyp you should think sin function

125. mckenzieandjesus

the only answers i have fot the child one is 55 degrees, 35 degrees, 51 degrees, and 39 degrees.

126. mckenzieandjesus

got*

127. freckles

$\sin(53^o)=\frac{x}{10}$

128. freckles

yes arctan(17/14) does give one of those answers

129. freckles

|dw:1435096879182:dw|

130. mckenzieandjesus

its 51 degrees i thought it was either that or 35 degrees and went with 35 oops thank u!

131. mckenzieandjesus

so for the other question do i type sin(53) in?

132. freckles

well you need to multiply both sides by 10 to get x by itself

133. freckles

and yes you can type in sin(53) but you will need to multiply that result by 10

134. mckenzieandjesus

so 7.39631095?

135. mckenzieandjesus

would it be 8.0?

136. freckles

that is almost kinda close to what I got I have 7.986 blah blah

137. freckles

which is pretty darn close to 8 we got to figure out what is going on with your calculator

138. freckles

what does your calc say when you enter in just sin(53)

139. mckenzieandjesus

0.739631095

140. freckles

hmmm...

141. freckles

that is really weird should be getting 0.7986355100

142. mckenzieandjesus

but the real answer that comes up on that site link u gave me is showing what u got

143. mckenzieandjesus

Yeah i dont know whats wrong with this calculator.. maybe thats why ive gotten answers wrong many times on homework

144. mckenzieandjesus

The answer is 8.0 then but i really dont know what my calc is doing

145. freckles

146. freckles

i have no double about that

147. freckles

and your mode is in deg?

148. freckles

149. freckles

150. freckles

not degrees

151. freckles

change the mode and you fixed your problemd

152. freckles

you have your mode in grads* we need degrees let's see if I can give instructions --- hmmm... you should see mod then deg (and that is what you want but looking it up)

153. freckles

oh you left :p

154. campbell_st

if you want to change to degrees Press shift setup(Mode) then choose 3 Deg

155. mckenzieandjesus

im here

156. mckenzieandjesus

ok i just changed my mode.

157. mckenzieandjesus

yay the answer is right on my calc now. thank you so much !