Math, asked by maefarraj9, 8 months ago

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

Answered by Anonymous
8

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:

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Answered by amitnrw
0

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  

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