A 17.5-meter-high flagstaff throws a 40.25-meter-long shadow. Under comparable conditions, the height of the structure that throws a shadow of length 28.75 m will be:
A. 10 m
B. 12.5 m
C. 17.5 m
D. 21.25 m
Answer:B
A 17.5-meter-high flagstaff throws a 40.25-meter-long shadow. Under comparable conditions, the height of the structure that throws a shadow of length 28.75 m will be:
A. 10 m B. 12.5 m C. 17.5 m D. 21.25 m
Explanation: Let the building's height be x metres.There is a reduction in the length of the shadow and a reduction in the height (Direct Proportion),40.25 : 28.75 : 17.5 : x 40.25 x x = 28.75 x 17.5 x x ,x = 28.75 x 17.5/40.25 x = 28.75 x 17.5/40.25 x = 28.75,12.5 = x.