Question

At a certain time in the afternoon a light pole casts a shadow that is 7 foot 1 inch long. At the same time, a woman of height 5-foot 3-inches casts a shadow that is 45 in long. How tall is the light pole? ​

Answer 1

`\displaystyle (119)/(144)\:ft.\:[9(11)/(12)\:in.]`

Explanation:

`\displaystyle (45)/(5(1)/(4)) = (7(1)/(12))/(lp) → ([5(1)/(4)][7(1)/(12)])/(45) = lp → (37(3)/(16))/(45) = lp → (119)/(144)\:ft. = lp`

* As you can see, the answer is in feet, so if you are comfortable working with inches, multiply the result by 12:

`\displaystyle 1\:ft. = 12\:in. \\ \\ 9(11)/(12) = [12][(119)/(144)]; 9(11)/(12)\:in.`

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