Question

help

Answer 1

@Vocaloid

Answer 2

@Vocaloid

Answer 3

have you made any attempts/progress yet? (it's ok if you haven't, just want to know where we should start)

Answer 4

not yet

Answer 5

since we don't have a right triangle here we have to use the law of sines

Answer 6

do you think you can try to apply this formula to find the missing side length (the height of the tower) in your problem?

Answer 7

we use capital letters A, B, and C to label the angles

lowercase letters are the sides across from the angles
so a is across angle A, etc.

Answer 8

now, if we look at the law of sines formula

a/sinA = b/sinB

what do you think a might be equal to?

Answer 9

32

Answer 10

if we look at the diagram, see how angle A is 69 degrees, angle B is 86 degres, and b is 82? try plugging these into the formula

a/sinA = b/sinB

Answer 11

3rd angle is 25

Answer 12

please follow my instructions

Answer 13

b is the answer

Answer 14

again, please follow my instructions

Answer 15

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
if we look at the diagram, see how angle A is 69 degrees, angle B is 86 degres, and b is 82? try plugging these into the formula

a/sinA = b/sinB
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 16

i just solved it i did 82/sin 86 and got me .997 and didn't do nything because sin 86 is .997 so I did sin 86 and took 82/.997 and got 86. something

Answer 17

you haven't taken into account angle A

a/sin(69) = 82/sin(86) what does a equal?

Answer 18

.93 is sin 69

Answer 19

good, keep going with the calculation, what does a equal?

Answer 20

when i did 77 i got about 83 which is the closest 87 i get 94

Answer 21

check your calculations again

a/sin(69) = 82/sin(86)

a = 82*sin(69)/sin(86) = ?

Answer 22

i got 77 when I calculated 82*.93/*99 other wise i would be stuck with some off the wall anaswer if i type sin several times

Answer 23

good, so it's about 77 ft (answer A)

Answer 24

2?

Answer 25

since it's the same tower of pisa, we re-use the same height and draw a new triangle

Answer 26

use the law of sines again to find the distance between the person and the tower (x)

Answer 27

what equation do I use for this because i did the same one before and got 93

Answer 28

oh shoot hold on

Answer 29

sorry I messed up the angle for the first problem, it needs to be 86 with the ground not the top angle

Answer 30

x/sin(69) = 82/sin(180-69-86)
the height of the tower is 181 (C) not 77 whoops

Answer 31

anyway, for problem #2 we would use 181 as the height so:

Answer 32

try solving for x now using the law of sines

Answer 33

whats the 25 there for?

Answer 34

should be 39 sorry

the measurement of the top angle is 39 degrees

Answer 35

solve like I did last?

Answer 36

yes

Answer 37

221 and 39 is what i got

Answer 38

x/sin(39) = 181/sin(55)

x = ?

Answer 39

181(sin(55)=221

Answer 40

x/sin(39) = 181/sin(55)

notice how x is being divided by sin(39) on the left side? we would multiply both sides by sin(39) to isolate x

Answer 41

181 * sin(39) / sin(55) = ?

Answer 42

139

Answer 43

good, 139 feet is your answer

Answer 44

anyway, for #3 let's sketch a triangle

Answer 45

find x, law of sines again

Answer 46

b

Answer 47

well done

Answer 48

i also want to say b for next one i believe a student actually used this for their discussion

Answer 49

let's look at the next problem w/ the boats

Answer 50

first step: use law of sines to find the angle at the top

Answer 51

40/sin(y) = 28/sin(37)

solve for y, then we'll use y to find x

Answer 52

A

Answer 53

yeah that's what I got too

Answer 54

4&5

Answer 55

let's work on the tree problem

Answer 56

actually I'm not sure how we could solve this w/o knowing the other angle hm..

Answer 57

its a practice so its not gonna kill me lol

Answer 58

gonna guess it's no soln' would like to know the correct solution later if possible

Answer 59

is there anything after 5?

Answer 60

no and so both no solution

Answer 61

the 40 mile light house we got A (46.27) the one about the tree we got no sol'n

Answer 62

5?

Answer 63

I don't see a problem #5 in the original attachment

Answer 64

is c?

Answer 65

c

Answer 66

yeah that's what i got too

Answer 67

ty