Can someone please help me with the problem below

Question

wintersuntime · Answer

attachment

john_es · Answer

Is there some more data? The radius of the front and back tires?

wintersuntime · Answer

yes, ill send it right now

wintersuntime · Answer

attachment

john_es · Answer

Well, the graph you were trying is correct. You need this distance. For the front tire, the radius is 12/2=6 inches. You know that part of the height is 6 inches,but you still don't know part of the height.

john_es · Answer

The part you don't know is the part that have the angle 30 there.

john_es · Answer

But you can calculate this height using what you probably know about triangles and the sine,
$$height=R\cdot\sin(30)$$

john_es · Answer

So, the total height is 
$$h=6+6\cdot\sin30=6+3=9\ \ \text{inches}$$

john_es · Answer

In the formula that I wrote, R is the radius of the tire.

wintersuntime · Answer

okay so the height would ben 9 inches ?

john_es · Answer

For the (a), yes.

wintersuntime · Answer

okay

john_es · Answer

For the (b) use the same formula, but with R=6/3=2 inches. So,
$$h=R+R\sin(30)=2+2/2=3 \ \  \text{inches}$$

wintersuntime · Answer

okay thank you

john_es · Answer

You're welcome.

wintersuntime · Answer

where did you get the 2 from ?

john_es · Answer

There is two of the, one for the R=2, and the other from here,
$$\sin(30)=1/2 $$

wintersuntime · Answer

I got 4.5

john_es · Answer

Oh, sorry, that was my mistake. R=6/2=3

wintersuntime · Answer

So I did 3*sin(30)=1.5+3=4.5

john_es · Answer

$$h=R+Rsin(30)=3+3/2=3+1.5=4.5$$

wintersuntime · Answer

okay thank you