A toddler’s playground has two slides on either side. The slide on the left is situated at a 45° angle to the ground and is 64 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 106 centimeters away from the playground’s base. What is the total length of both slides on this playground rounded to the nearest tenth of a centimeter?

Question

anonymous · Answer

attachment

anonymous · Answer

i got lost in the middle of all this can someone help me out?

anonymous · Answer

You can look up the features of the special triangles 30-60-90 and 45-45-90. What stage are you at?

anonymous · Answer

im on figuring out whether to use cosine or sine for the 30 degree angle triangle

anonymous · Answer

No need to: http://zonalandeducation.com/mmts/miscellaneousMath/tri454590306090/tri454590306090.htm

anonymous · Answer

These are special triangles where the sides are always proportional to the hypotenuse.

anonymous · Answer

ok, so all i have to do is multiply .8660 to 106?

anonymous · Answer

You actually have to divide it, .8660 is the same as h*.8660, because in that example h is 1.
So,
$$h=106/(\sqrt{3}/2)$$

And the length of the other slide is
$$h = 64\sqrt{2}$$

Stick those in a calculator, and add them for your answer. Don't forget rounding or units ;)

anonymous · Answer

oh ok, thanks, you just helped me out alot!!!!

anonymous · Answer

No prob, memorize those proportions for your tests (it's easier than it looks) and you'll likely save tons of time