To the nerest degree,find the angle of elevation of the sun when a 9 metres vertical FlagPool casts a Shadnw 3 metres Long,

tanθ = 9/3

and try proofreading what you type. It's a mess.

To find the angle of elevation of the sun, we need to use the concept of similar triangles.

Let's call the angle of elevation of the sun θ.

In this scenario, we have a vertical flagpole of height 9 meters, and it casts a shadow that is 3 meters long. We can create a right triangle where the flagpole is the vertical side, the shadow is the horizontal side, and the sun's rays are the hypotenuse.

Now, let's set up the proportion using the similar triangles:

sin(θ) = opposite/hypotenuse

sin(θ) = height of flagpole/shadow length

sin(θ) = 9/3

sin(θ) = 3

To find θ, we need to use the inverse sine function (sin^-1):

θ = sin^-1(3)

The value of sin^-1(3) is not defined within the range of -1 to 1. Therefore, we can conclude that there is no angle of elevation that satisfies this scenario.

In summary, based on the given information, there is no angle of elevation of the sun that would result in a 9-meter flagpole casting a 3-meter shadow.