A ladder 12 m long rest against a wall such that it makes angle of 45° with the ground. Find the height of the point on the wall where the top end of the ladder touches it
Answers
Answered by
0
Step-by-step explanation:
Length of ladder = 6.5 m
Length of the foot of the wall = 2.5 m
To find: Height AC According to Pythagoras Theorem,
BC^2=AB^2+AC^2BC
2
=AB
2
+AC
2
6.5^2=2.5^2+AC^26.5
2
=2.5
2
+AC
2
42.25=6.25+AC^242.25=6.25+AC
2
AC^2=42.25-6.25=36mAC
2
=42.25−6.25=36m
AC=\sqrt{6\times6}=6\ mAC=
6×6
=6 m
∴ Height of wall = 6 m
Similar questions