Question

Help with trig

Answer 1

what would cos(theta) = adjacent/hypotenuse = ?

keep in mind you will have to use the Pythagorean theorem to find the adjacent side

Answer 2

a^2+b^2=c^2?

Answer 3

yes, where c is the hypotenuse and a and b are the legs

solve for the missing leg length

Answer 4

a=4

Answer 5

awesome, so adjacent = 4 so adjacent/hypotenuse = 4/5 = your answer

Answer 6

the sum of the angles in a triangle must be 180
we are given two angles, 90 and 42

so 90 + 42 + z = 180

z = ?

Answer 7

48

Answer 8

awesome, that's it

Answer 9

this would be the same concept as the first one right

Answer 10

sort of

since csc is 1/sin that means hypotenuse/opposite = 13/12, we can draw the appropriate triangle like so:

Answer 11

actually other way around i wrote it wrong

Answer 12

then we use pythagorean to solve for the missing leg, then choose the appropriate solutions

Answer 13

oh okay i see

Answer 14

A=5

Answer 15

so choice a

Answer 16

and c

Answer 17

good, a + c

Answer 18

I think I know what to do here

Answer 19

first i need to figure out the angle so i would do 42+90+z=180

Answer 20

z=48

Answer 21

then i would figure out the outside

Answer 22

i dont know actually how to do that like where to begin

Answer 23

you just need to pick one of the angles and select the appropriate trigonometric ratio that will allow you to solve for the unknown

Answer 24

for example, if we pick z = 48, we have the opposite side 35 and we want to solve for the hypotenuse, which trig ratio includes the angle, the hypotenuse, and the opposite side?

Answer 25

ugh do you have a chart like where it says sin is this or cos is this because idont remember

Answer 26

so sin(48) = 35/y solve for y

Answer 27

an easy way to remember this is by saying "so" "cah" toe-ah" out loud, it'll help you remember the appropriate trig ratios

Answer 28

47.10

Answer 29

good

Answer 30

I think(?) this is how to set up the triangle, the shadow should be cast behind the man, in the opposite direction of the light, making the total distance from the shadow to the lamp 10 + 17 = 27

Answer 31

anyway, since you have the angle, the adjacent, and the opposite, which trig ratio should we use?

Answer 32

Tan

Answer 33

good, so tan(50) = x/27 find x

Answer 34

32.17

Answer 35

says to the nearest foot (32) which does seem a little bit too high for this scenario hm :S

Answer 36

I just did a quick google search and everbody else is doing it the same way I did it so I guess 32 is the best shot for now

Answer 37

oh wait wait wait

Answer 38

so would i do 32.17 or just 32

Answer 39

I'm an idiot, 10 + 7 is 17 not 27 ughh

Answer 40

tan(50) = x/17 try this

Answer 41

20.25

Answer 42

good, but since they want it rounded to the nearest whole # then it's 20

Answer 43

well i did the calculations and hypotenuse would be 17

Answer 44

good, so let's try sketching the triangle

Answer 45

which answer choice(s) match this triangle?

Answer 46

C

Answer 47

not a

Answer 48

good but I believe there's actually 2 more answers besides C

Answer 49

b c d

Answer 50

awesome

Answer 51

we already did one like this let me go up and see the process

Answer 52

it's just selecting an angle (you should use either z or 47), picking the appropriate trig ratio, then solving for x

Answer 53

would it be sin

Answer 54

we could actually use sin since we solved for y in the other example, however we lost some decimal points due to rounding so I would only use values that are already on the triangle

Answer 55

if so then sin(43) = 35/x

Answer 56

sin(43) = opposite/hypotenuse which would be 35/y which does not help us because we want x

Answer 57

hint - if we choose angle z as our reference angle, we have the opposite and adjacent sides - which ratio is this?

Answer 58

oh tan

Answer 59

sin(43) = 35/x

Answer 60

good so tan(43) = 35/x solve for x

Answer 61

37.53

Answer 62

good, that's it

Answer 63

False

Answer 64

excellent

Answer 65

true

Answer 66

good

Answer 67

1.06 miles?

Answer 68

good, 1.06 is what I got too