The length of the shadow of a 5'6" person who is walking down the street and notices his shadow is 2' (2 ft).
What is angle of elevation?
The angle of elevation is the angle made between the straight line and the line of observer seeing the object, which is above that straight line.
A 5'6" person walking down the street notices his shadow. The angle of elevation from the tip of the shadow to the sun is 70 degrees. 5"6" is equal to the 5.5 ft.
The image for the given case is attached below. The length of the shadow is BC which is the base of right angle shown.
From the property of right angle, the tangent of the angle is equal to the ratio of opposite side and base side. Thus,
[tex]\tan70=\dfrac{AB}{BC}\\\tan 70=\dfrac{5.5}{BC}\\BC=2\rm\; ft[/tex]
Thus, the length of the shadow of a 5'6" person who is walking down the street and notices his shadow is 2' (2 ft).
Learn more about the angle of elevation here;
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