The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 9.5 m away from the wall. Find the length of the ladder.
Answers
Answer:
The length of the ladder is 19 m.
Step-by-step explanation:
GIVEN:
Distance between the foot of the ladder and wall , BC = 20 m
Angle of elevation , ∠BCA (θ) = 60°
Let AC = 'h' m be the Length of the ladder.
In right angle triangle, ∆ABC ,
cos θ = B/ H
cos 60° = BC/AC
½ = 9.5/h
AC = 2 × 9.5
AB = 19 m
Hence , the length of the ladder is 19 m.
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Answer:
Angle = 60º and distance between wall and ladder= 4.6 m.
Length of ladder= 2 x distance between wall and ladder
= (2 x 4.6) m
= 9.2 m.
OR
Let AB be the wall and BC be the ladder.
Height and Distance mcq solution image
Then, ∠ACB = 60° = AC = 4.6m
AC
BC
=cos60∘=
1
2
⇒ BC = 2 × AC = 2 × 4.6 = 9.2m
OR
let AC be the ladder
here COS 60* =BC/AC
1/2=9.5/AC
AC=9.5by2=19.0m
here is your answer