Ahot air balloon is flying above grovenburg. to the left side of the balloon, the balloonist measure the angle of depression to the groveburg soccer fields to be 20 degrees 15’. to the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62 degrees 30’. the distance between the two athletic complexes is 4 miles.

Angle x = 90° - 22°15’  

Angle y = 90° - 62°30'

Angle z = 22°15’ = 22.25°

Angle w = 62°30’ = 62.50°

tan(z) = H/a => a = H/tan(z)

tan(w) = H/b => b = H/tan(w)

a+b = 4 => H/tan(z) + H/tan(w) = 4 => H [1/tan(z) + 1/tan(x) ] = 4

    H = 4 / {[1/tan(z) + 1/tan(x) ] } = 1.35 miles

    a = 1.35 / tan(22.25°) =  3.30 miles

    b = 4 – 3.30 = 0.7 miles

I hope it is very useful and you understand it. Let me know.

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the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force