Question

PLEASE HELP! 100 PTS

What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.

Answer 1

• AB=8ft

2 ft above

• AB=10ft
• BC=400ft

Now

Angle be x

Apply Pythagorean theorem

`\\ \rm\Rrightarrow tanx=(10)/(400)`

`\\ \rm\Rrightarrow tanX=(1)/(40)`

`\\ \rm\Rrightarrow tanX= 0.025`

`\\ \rm\Rrightarrow X=tan^(-1)(0.025)`

`\\ \rm\Rrightarrow X=1.432°`

Answer 2

C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.