Question

On a sunny day, a 15-foot pole casts a 20-foot long shadow, how tall is a person who casts a 8 foot shadow (Draw an image to help you solve the problem). O 10 6 feet O 6 feet O 375 feet O B feet None of the above

Answer 1

The image can be drawn as,

The height of the person can be determined as,

`\begin{gathered} \tan C=(AB)/(CB)=(DE)/(CE) \\ (AB)/(CB)=(DE)/(CE) \\ (15)/(20)=(DE)/(8) \\ DE=(15*8)/(20) \\ DE=6\text{ ft} \end{gathered}`

Thus, the required height of the man is 6 ft.