Answered

LIGHT The length of the shadow S given by a tower
that is 100 meters high is S = 100/tan θ, where θ
is the angle of inclination of the sun. If the
angle of inclination is 45°, find the length of the shadow.
a. 162 m
b. 62 m
c. 100 m
d. 84 m



Answer :

sqdancefan

Answer:

  c.  100 m

Step-by-step explanation:

You want the length of the shadow of a 100 m tower if the angle of inclination of the sun is 45°.

Isosceles right triangle

The tower and its shadow are modeled as legs of a right triangle. When the acute angle in such a triangle is 45°, the triangle is isosceles and the legs are the same length.

The shadow is the same length as the height of the tower: 100 m.

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Additional comment

You can check this by using the formula:

  S = 100/tan(45°) = 100/1 = 100

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