A 8-foot tall man is standing beside a 32-foot flagpole. The flagpole iscasting a shadow of 22.5 feet. How much longer is the shadow cast by theflagpole than the shadow cast by the man?
Accepted Solution
A:
Answer:The flagpole's shadow is 16.875 feet longer than the man's shadowStep-by-step explanation:The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;Height of the shadow=actual height of the flagpole×factorwhere;length of the flagpole's shadow=22.5 feetactual height of the flagpole=32 feetfactor=freplacing;22.5=32×f32 f=22.5f=22.5/32f=0.703125Using this factor in the expression below;Length of man's shadow=actual height of man×factorwhere;length of man's shadow=mactual height of man=8 feetfactor=0.703125replacing;length of man's shadow=8×0.703125=5.625 feetDetermine how much longer the flagpole's shadow is as follows;flagpoles shadow-man's shadow=22.5-5.625=16.875 feetThe flagpole's shadow is 16.875 feet longer than the man's shadow