Question

Clara and The Doctor are running from some Daleks. They spot the building their TARDIS materialized on, and figure they will be safe if they can get to the TARDIS in time. The building is 17 feet tall, and has a board leading up to the top that is x feet long. The board is at a 29° angle with the ground. How far will they have to run to get to the top of the building if they run up the board? (Now, Daleks can’t make it onto this board without any legs so you have some time to answer this question)

Lol i made up my own trig question as an assignment and now i need help solving it.... kinda s

Answer 1

i have a picture hang on a sec lol

Answer 2

this is soooo cool. but i think david is the best doctor

Answer 3

Yeah i know.. i just used the latest one XDD but ten will always be my favorite

Answer 4

nice job on the prop

Answer 5

yea me too

Answer 6

XD how come it always says im typing

Answer 7

idk

Answer 8

well see ya

Answer 9

:)

Answer 10

k seeya XD :(

Answer 11

@e.mccormick can you help? XD

Answer 12

Well, do you know your trig ratios? SOC CAH TOA?

Answer 13

yeah :D

sin = Opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
right?

Answer 14

im not actually typing lol theres something wrong :S

Answer 15

Yep.

For the non-90 angles in a right triangle, there is the side opposite, the side adjacent, and the hypotenuse; or O, A, and H for short.

SOH means \(\sin\theta = \dfrac{O}{H}\)

CAH means \(\cos\theta = \dfrac{A}{H}\)

TOA means \(\tan\theta = \dfrac{O}{A}\)

Answer 16

There can be delay in the typing update.

OK, so for your question, you have an \(\angle \theta\), one known side, and one unknown side. Which of those has your three things?

Answer 17

SOH?
Would it be:

sin65 = 17/x ???

Answer 18

65?

\(\sin 29^{\circ} = \dfrac{17}{x}\)

Answer 19

Oh sorry i'm looking at a different question *facepalm* yeah i meant sin29 lol

Answer 20

OK. Then solve for x.

Answer 21

Multiply both sides by x right?

Answer 22

Yes.

Answer 23

(x)sin29 = 17

Answer 24

And then?

Answer 25

Divide both sides by 17?

Answer 26

wait NO lol divide both sides by sin29

Answer 27

\(\sin 29^{\circ} = \dfrac{17}{x}\)

\(\sin 29^{\circ}\cdot x = \dfrac{17}{x}\cdot x\)

\(\dfrac{\sin 29^{\circ} x}{\sin 29^{\circ} } = \dfrac{17}{\sin 29^{\circ} }\)

\(x = \dfrac{17}{\sin 29^{\circ} }\)

It will take a calculator or trig table at that point.

Answer 28

x = approx. 35.07? idk the windows calculator is weird lol is that right?

Answer 29

35.0653107737 bla bla bla

So ya. 35.07 units. And since you listed units in the question, it is generally good to have them in the answer.

Answer 30

Thanks so much that really helped :)

Answer 31

np. Have fun!