question_answer

A student of height 1m is walking away from the base of a street light at a speed of 0.5 m/sec. If the street light is 5m above the ground, find the length of the student's shadow after 8 seconds.

A)  \[2\text{ }m\]                           

B)  \[1\text{ }m\]     

C)  \[\sqrt{3}\text{ }m\]                 

D)  \[\sqrt{2}\text{ }m\]

Correct Answer: B

Solution :

(b): \[\frac{x}{4+x}=\frac{1}{5}\]   \[\Rightarrow \]\[x=1\] metre