Question

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 68 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 112 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? Type the numeric answer only in the box below.

Answer 1

@hba @KingGeorge @jim_thompson5910

Answer 2

do you know of the 45-45-90 degree and 30-60-90 degree angle theorems?

Answer 3

yes

Answer 4

kind of

Answer 5

the slide that's 45 degrees from the playground is 68cm from the it.think of a triangle with two 45 degree angles,this makes the playground 68cm long.
Bearing in mind the 45-45-90 degree theorem,where( we have a,a and root a) the 45 degree slide will be root 45

Answer 6

next,the 30 degree slide: think of ( a, a/2 and root 3)substitute the values left,can u carry onto the answer now?

Answer 7

im just so confused ok after u get the root 45 then what do u do

Answer 8

@jim_thompson5910

Answer 9

you try to find the length of the other slide by applying the 30-60-90 degree angle theorem,can u?

Answer 10

30-60-90 angle thereom is can u refresh my memory please