A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.

Mathematics

1 answer:

Oksanka [162]3 years ago

6 0

Answer:

44.44°

Step-by-step explanation:

A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.

We solve this question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = ?

Opposite = Height of the tower = 101 feet

Adjacent = Length of the shadow = 103 feet

Hence

tan θ = 101/103

θ = arc tan (101/103

θ = arctan(0.9805825242718447)

θ = 44.438294667°

Approximately to the nearest degree = Angle of elevation = 44.44°

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