Estimate the average power output of the sun, given that
about1350w/m2 reaches the upper atmosphere of theearth.
this distance from the sun to the earth is 1.5
x1011m.

Intensity is defined to be the power per unit area carried by a wave. Power is the rate at which energy is transferred by the wave. In equation form, intensity I is

I=\frac{P}{A}

Where P is the power through an area A.  

Rearranging to find the Power we have that,

P = IA

The value of the given area for land can be approximated to that of a sphere, therefore the Area would be equivalent to

Where r represents the distance from the sun to the earth.

Replacing with our values we have that

Therefore the average power output of the sun is

it takes about 30 days for it to break down

6 cos 34, 6 sin 34 trig