7
QuizMultiple Choice

Similar Triangles

Question 7 • Mathematical Models with Applications - MA4072 CR

Suppose Ms. Kraus is 1.75 m tall. When her shadow is is 1 m, how long would the shadow be of a 265 m tall building? (Make a sketch to help solve the problem)

Answer
A
175 m
B
151 m
C
265 m
D
100 m

Explanation

With the same sunlight angle, the height-to-shadow ratio is the same for Ms. Kraus and the building. Set up 1.75/1 = 265/x, where x is the building’s shadow length; solving gives x = 265/1.75 ≈ 151.4 m. So the shadow is about 151 m, choice B.

AI-written and checked against the verified answer.

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