A ladder 5 meters Long leans against a tree if the foot of the ladder makes an angle of 50° with the...
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Tanong
A ladder 5 meters Long leans against a tree if the foot of the ladder makes an angle of 50° with the ground how far is the base of the ladder from the true?
Mga sagot sa #1 sa Tanong: A ladder 5 meters Long leans against a tree if the foot of the ladder makes an angle of 50° with the ground how far is the base of the ladder from the true?
Answer:
3.21 m
Step-by-step explanation:
Given:
Length of ladder (hypotenuse): 5 meters
Angle of ladder foot with the ground (θ): 50°
Distance between ladder foot and wall base (adjacent): x
Use trigonometric ratio to find the distance along the ground:
Cos θ = adjacent/hypotenuse
Cos 50° = x/5 meters
(transpose the component)
(in this case, cross multiply Cos50° to 5 m and do the same with x.)
(it will then give you this)
(cosine will be multiplied by the length.)
x = Cos 50° (5 meters)
x = 0.6427 (5 meters)
x ≈ 3.21 m
x ≈ 3.21 meters
The base of the ladder is 3.21 meters far from the wall.
#BrainlyChallenge2021
https://brainly.ph/question/2676559
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