Calculate the angle that the ladder makes with the ground using a trigonometric ratio. 3. If a ladder is x feet long, how high up a wall can it safely reach?
Answers
Answer:
Length of Ladder = 13 ft
Length between Ladder and Wall = 5 ft
by pythagoras theorum
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
(13)^2 = (height of wall)^2+(5)^2
by solving
Height of Wall = 12 ft
Step-by-step explanation:
Best Question
I Hope It Is Helpful For You
MARK AS A Brainliest
thank you
Given : ladder is x feet long,
To find : how high up a wall can it safely reach
Solution:
α = angle that the ladder makes with the ground
Sin α = Height to reach / Height of Ladder
Cosα = Distance of ladder foot from wall / Height of Ladder
Tanα = Height to reach / Distance of ladder foot from wall
there is a rule for every 4 ft to climb ladder should be 1 ft away from wall
Tanα = 1/4
=> Sinα = 1/√17
Cosα = 4/√17
a ladder is x feet long, how high up a wall can it safely reach
=> Sin α = Height to reach Safely/ Height of Ladder
=> Sin α = Height to reach Safely / x
=> Height to reach Safely= x Sin α
=> Height to reach Safely = 4x/√17
Height to reach Safely = 4x/√17
Learn More:
How high can a ladder safely reach? Would a 51-foot ladder actually ...
https://brainly.in/question/17942135
A ladder is lying against a wall which is 5 meters high. If the ladder ...
https://brainly.in/question/2903243
5. If you wanted to safely climb a 50-foot wall, what's the shortest ...
https://brainly.in/question/17957369