The given triangle has a right angle.
We use the mnemonics SOH-CAH-TOA.
1i) ,
,
ii) ,
,
,
,
2. We want to find the hypotenuse.
We know an angle to be 23 degrees.
We were also given the side opposite to this angle to be 1200km.
Therefore we use the sine ratio.
Answer:
The volume of the solid is
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have . Thus, our functions with
as independent variable are:
For the washer method, we need to find the area function, which is given by:
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function and the inner one by
. Thus, the area function is:
Now we just need to integrate. The integration limits are easy to find by just solving the equation , which has two solutions
and
. These are then, our integration limits.
