Ask your own question, for FREE!
Mathematics 6 Online
OpenStudy (anonymous):

please help me with number one

OpenStudy (lilg132):

what is number one?

OpenStudy (anonymous):

OpenStudy (anonymous):

that one

OpenStudy (anonymous):

Since you know the length of the hypotenuse and the 30 degree angle you can use cosine to find the length of the adjacent side. Once you have the length of the adjacent side you can use the Pythagorean theorem (a^2 + b^2 = c^2) to find the length of the other side!

OpenStudy (anonymous):

@ChristianGeek can you help me with it??

OpenStudy (lilg132):

to work out the y side you need to put in your calculator cos(30) then you will get 0.86602540378443864676372317075294 you now have to multiply this by the length of the side we already have which is 20 so 0.86602540378443864676372317075294 * 20 = 17.32 now that is the length of the side y.

OpenStudy (anonymous):

whoa thats alot of numbers

OpenStudy (lilg132):

sorry i was copying and pasting i think you only need it to 2 decimal points you dont need that many numbers lol

OpenStudy (lilg132):

26.45?

OpenStudy (anonymous):

idk im confuse

OpenStudy (anonymous):

@ChristianGeek you there??

OpenStudy (lilg132):

what are you confused about

OpenStudy (anonymous):

everything

OpenStudy (lilg132):

ok have you learnt that you may need to use cos sin or tan to work out the length of a side on a triangle

OpenStudy (anonymous):

wat does cos mean?

OpenStudy (lilg132):

try having a read through this for maybe a better understanding http://www.mathsisfun.com/algebra/trig-finding-side-right-triangle.html

OpenStudy (anonymous):

@lilg132 ive had read for staraight 6 hours i dont think i wanna read at the moment

OpenStudy (lilg132):

cos is a button on your calculator

OpenStudy (lilg132):

so is sin and tan

OpenStudy (anonymous):

oh

OpenStudy (lilg132):

i really think you need to read that link for you to understand the basics it will be very difficult for me to explain otherwise

OpenStudy (anonymous):

did i get number 3 right? i put this tan 60 = x/4

OpenStudy (anonymous):

The cos of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse, right? So start with: \[\cos 30 = \frac{y}{20}\]\[20 cos 30 = y\]\[20 \frac{\sqrt{3}}{2} = y\]\[y = 10 \sqrt{3}\] Now plug y into the Pythagorean theorem: \[x^{2} + y^{2} = 20^{2}\]\[x^{2} + (10 \sqrt{3})^{2} = 400\]\[x^{2} + (100 \times 3) = 400\]\[x^{2} + 300 = 400\]\[x^{2} = 100\]\[x = 10\] You can use a calculator to simplify y if you want.

OpenStudy (lilg132):

no you do tan 60 which will give you a number then you multiply this number with the length of the side you already have which is 4 that gives you the side

OpenStudy (anonymous):

cos = cosine

OpenStudy (anonymous):

Sorry about the delay...took me a while to type!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!