SSC
Sample Paper
SSC CHSL (10+2) Sample Test Paper-8
question_answer
A ladder is resting against a wall at a height of 10m. If the ladder is inclined with the ground at an angle of \[30{}^\circ \], then the distance of foot of the ladder from the wall is
A) \[\frac{10}{\sqrt{3}}\] m
B) \[\frac{20}{\sqrt{3}}\]m
C) \[10\sqrt{3}\]m
D)\[20\sqrt{3}\]m
Correct Answer:
C
Solution :
AB = wall =10 metre \[\angle \]ACB = \[30{}^\circ \] BC=\[x\] metre \[\therefore \] From \[\Delta \]ABC, tan \[30{}^\circ \]=\[\frac{AB}{BC}\] \[\Rightarrow \] \[\frac{1}{\sqrt{3}}=\frac{10}{x}\] \[\Rightarrow \]\[x=10\sqrt{3}\] metre