contestada

The horizontal shadow of a vertical tree is 23.4 m long while the angle of elevation to the sun is 56.3°. How tall is the tree? Round to the nearest meter.

Respuesta :

Answer:

Explanation:

Given

length of shadow [tex]L=23.4\ m[/tex]

angle of elevation to the sun [tex]\theta =56.3^{\circ}[/tex]

Suppose height of tree is h

using trigonometric relation

[tex]\tan \theta =\frac{h}{L}[/tex]

[tex]\tan (56.3)=\frac{h}{23.4}[/tex]

[tex]h=23.4\tan (56.3)[/tex]

[tex]h=35.08\ m[/tex]

           

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