Answer:
C. 4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]
The length of the shadow cast by a person 1.82m tall is 4.99m.
The angle of elevation is an angle a person's sight is making with the object if he stands in the front of an object.
We have been given that the angle of elevation to the sun is 24 degree and the person is 1.82m tall. Then the length of the shadow will be:
tan(24)=1.82/length of the shadow
0.445286853=1.82/length of the shadow
length of the shadow=4.087
=4.09 (approx)
Hence the length of the shadow cast by a person 1.82m tall is 4.09m if the angle of elevation to the sun is 24 degrees.
Learn more about angle of elevation at https://brainly.com/question/88158
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