You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? cow 7.4 ft. 13.8 ft. 11.1 ft. 9 ft. SU

Respuesta :

This is a question involving the angle of elevation

To obtain the height, h, we can make use of the trigonometric function

Tangent = opposite / adjacent

The opposite angle to 48 degrees is h

The adjacent is 10 ft

[tex]\begin{gathered} \tan \text{ }\theta\text{ =}\frac{opposite}{adjacent} \\ \\ \tan \text{ 48 =}\frac{h}{10} \end{gathered}[/tex]

To get h, we can cross multiply

h = 10 x tan 48

h = 10 x 1.11

h = 11.1 ft

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