A building casts a 50-foot shadow. Alex is 5 feet tall and casts a 6-foot shadow. Approximately how tall is the building?A.50 ftB.42 ftC.24 ftD.60 ftSUBMITarrow_backPREVIOUS
Question
A building casts a 50-foot shadow. Alex is 5 feet tall and casts a 6-foot shadow. Approximately how tall is the building?A.50 ftB.42 ftC.24 ftD.60 ftSUBMITarrow_backPREVIOUS
Solution
This problem can be solved using the concept of similar triangles. The height of the building and its shadow form one triangle, and the height of Alex and his shadow form another. The ratios of the corresponding sides of these triangles are equal.
Let's denote the height of the building as H. We know that:
H/50 = 5/6
To find H, we can cross-multiply and solve for H:
H = 5 * 50 / 6 = 41.67 feet
So, the height of the building is approximately 42 feet. Therefore, the correct answer is B. 42 ft.
Similar Questions
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