Question

A building 220 feet casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the personas eyes to the top of the building? 62.14 65.56 64.95 27.86

Answer 1

65.56°

Explanation:

= We solve the above question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = 220 feet = Height of the building

Adjacent = 100 feet = Length of the shadow

Hence,

tan θ = 220/100

tan θ = 2.2

= arctan(2.2)

= 65.55604522°

Approximately = 65.56°