Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 12 yards tall casts a shadow 15 yards long. Round to the nearest degree.

Respuesta :

Let us try to represent the question as an image.

From the diagram, we can get a triangle by considering the tree and shadow, such that

The angle x° is the angle of elevation of the sun,

To find the angle x°, we will use one of the Trigonometric Ratios, in this case, the Tan ratio.

Hence,

[tex]\tan x=\frac{opp}{adj}[/tex]

where

opp = 12 yards

adj = 15 yards

Substituting,

[tex]\begin{gathered} \tan x=\frac{12}{15} \\ \tan x=0.8 \\ x=\tan ^{-1}0.8 \\ x=38.66^{\circ} \end{gathered}[/tex]

The angle of elevation of the sun, to the nearest degree, is 39°

Ver imagen NoamD766087
Ver imagen NoamD766087
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