Question

A ladder is leaning up against a 10-foot wall at an angle of elevation of 65°. How long is the ladder? Round your answer to the nearest tenth of a foot.



3.6 feet


4.7 feet


9.1 feet


11.0 feet

Answer 1

u have to find the hypothese using the Pythagorean theorm and the sin, cosine, or tangent

Answer 2

do u know how?

Answer 3

so... cos(-1)(10/x) ... ?

Answer 4

cos^-1

Answer 5

u dont have to put a -1

Answer 6

no positive

Answer 7

... cos36=10/x

Answer 8

u know i dont know what u r doing wrong so im going to work this out then help u so can u plz wait

Answer 9

geez. its not like im being rude im just trying to understand

Answer 10

sorry i was just being rude

Answer 11

sin(36)=(x/10)?

Answer 12

nevermind the first diagram was right sorry about that

Answer 13

what?

Answer 14

@Hero help please

Answer 15

find the tangent not cosine

Answer 16

tangent is opposite/ adjacent

Answer 17

tan 65=x/10

Answer 18

10tan65=x and that will give u the answer got it?

Answer 19

this is the visual of the problem....

Answer 20

Now we know the angle of evelation which is 65 and we know of the opposite side and want to know the hypotenuse which is the length of the ladder so we would use sine...

\(\LARGE\color{green}{\sin(65^{o})=\frac{ 10 }{ x }}\)

Now to simplify we would divide 10 and sin(65)....

\(\LARGE\color{purple}{x=\sin(65^{o}) \div 10}\)

Answer 21

barely realized this question was answered 5 hours ago.....

Answer 22

:P

Answer 23

actually when inputting this problem in your calculator you would first do 10 then divide then sin(65

Answer 24

so 10/sin(65)

Answer 25

correct ^^

Answer 26

okay...

Answer 27

12.0944038929

Answer 28

hmmm is your calculator set to degree cause thats the same answer when its set to radian mode.....

Answer 29

hmmm

Answer 30

11?

Answer 31

ish

Answer 32

yup ^^

Answer 33

well 11.0337 an on...

Answer 34

and*

Answer 35

can you help with more?

Answer 36

sure ^^