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Find, to the nearest degree, the angle of elevation of the sun at a time when a tree 20 feet high casts a shadow 12 feet long .

Respuesta :

Answer:

Angle of elevation of sun = 59°

Step-by-step explanation:

Given:

Height of tree = 20 feet

Shadow of tree on ground = 12 feet

Find:

Angle of elevation of sun

Computation:

Height of tree = Perpendicular

Shadow of tree on ground = Base

Using trigonometry function;

Tanθ = Perpendicular / Base

Tanθ = 20 / 12

Tanθ = 1.66

Tanθ = Tan 59°

θ = 59°

So,

Angle of elevation of sun = 59°

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