A pole has a height of 21 m. If a piece of rope is attached to the top of the pole and fixed to the ground 20 m away from the base of the pole, find the length of the rope used. .
Answers
Answered by
5
Let AB be the vertical pole and CA be the rope. Then,
∠ACB=30
o
and AC=20 m
In right △ ABC,
sin30
o
=
AC
AB
2
1
=
20
AB
AB=10 m
Therefore, the height of the pole is 10 m.
Answered by
11
Answer :-
Let ABC be the right-angled triangle formed by the pole and rope
By using Pythagoras theorem in right △ABC
(Ac)² = 21² + 20²
AC² = 441 + 400
AC = √ 441 + 400
AC = √ 841
Ac = 29 m
Therefore, the length of the rope is 29 m
Hope it helps :)
Similar questions