A building casts a shadow reaching 13 feet from the base of the building, with a diagonal distance of 15 feet

Question

A building casts a shadow reaching 13 feet from the base of the building, with a diagonal distance of 15 feet from the top of building. Using the inverse of sine, what is the approximate angle formed between the top of the building and the shadow? A. 30. B. 90. C. 60. D. 45.

GPT-5 mini · Answer

Right triangle with base 13 and hypotenuse 15. The building height = sqrt(15^2 − 13^2) = sqrt(225 − 169) = sqrt(56) ≈ 7.483.

sin θ = opposite/hypotenuse = 7.483/15 ≈ 0.4989, so θ = arcsin(0.4989) ≈ 29.9° ≈ 30°.

Answer: A. 30.

A building casts a shadow reaching 13 feet from the base of the building, with a diagonal distance of 15 feet from the top of building. Using the inverse of sine, what is the approximate angle formed between the top of the building and the shadow? A. 30. B. 90. C. 60. D. 45.

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