Question

7 questions trig

Answer 1

@Vocaloid

Answer 2

let's just take it one at a time ^_^

to figure out 1 we just need to draw a triangle with sides a b c and angles A B C in the appropriate positions

Answer 3

is 1 a?

Answer 4

hold on I'm trying to figure out (just need to get this clown out first)

Answer 5

okay take your time

Answer 6

since cos(B) = adjacent/hypotenuse = 15/c

we need to find the hypotenuse of the triangle

do you remember the pythagorean theorem?

Answer 7

yes lol

Answer 8

good, then find the hypotenuse (c)

Answer 9

it would be d then lol

Answer 10

awesome, D

for 2 we also need to draw a sketch of the situation

Answer 11

since we have: the angle, and the side opposite the angle, and we want to know the hypotenuse we can use sin(theta) = opposite/hypotenuse, plug everything in and solve for hypotenuse

Answer 12

is the answer b?

Answer 13

check your calculations again

sin(30) = 10/x solve for x

Answer 14

it's a 20

Answer 15

good

Answer 16

for 3) as usual we will start with a sketch of the situation

Answer 17

i got b

Answer 18

we have:

the angle
the opposite to the angle
and we want to find the hypotenuse

sin(55) = 16/c

Answer 19

yep that's what i did

Answer 20

its b

Answer 21

yup B

Answer 22

4)

Answer 23

5 is also b

Answer 24

we haven't done 4 yet ^^

Answer 25

we have opposite and adjacent, so we can also use cos

cos(theta) = 6/10

do you know how to solve for theta?

Answer 26

i need a refresher lol

Answer 27

the inverse of cos is arccos

arccos(cos(theta)) = theta

so take the arccos of both sides to get theta = arccos(6/10) = 53.1 (answer C)

Answer 28

okay is 5 b

Answer 29

gimme a sec let me sketch it out

Answer 30

that's not quite what I got

tan(theta) = opposite/adjacent, solve for theta

Answer 31

oh i used sin okay

Answer 32

is it a then

Answer 33

good

Answer 34

have you tried #6 yet

Answer 35

not yet

Answer 36

first take the arcsin of each side to solve for theta

Answer 37

so b i guess isn't right lol

Answer 38

i basically do 3/5=.60 and then take sin by the choices till i get one that matches lol

Answer 39

arcsin(3/5) = ?

Answer 40

so the opposite right

Answer 41

what do you get when you punch arcsin(3/5) into your calculator?

Answer 42

36.9

Answer 43

good, however, it wants the OTHER angle, so we must subtract 90 - 36.9 = your answer

Answer 44

im using mathway but yes lol

Answer 45

so about 53 lol

Answer 46

53.1 lol

Answer 47

good, so C

Answer 48

for 7 let's do another sketch

Answer 49

that makes sense becayse question 4 was 6/10 which is 3/5 lol

Answer 50

try solving for A where sin(A) = 4/8

Answer 51

30

Answer 52

angle A is 30, which means B is the only possibility

Answer 53

i was about to say lol

Answer 54

thank you

Answer 55

8 is right