Question

a rope is tied to the top of a 4-meter building its other end is tied to the ground 1 meter away form the building. what is an equation for the ropes height y at distance x from the building in standard from a x-4y=4 b 4x-y =4 c 4x+y=4d x-4y=-4

Answer 1

Given ↷

• Top of the buliding = 4m
• The distance between the rope knot from the buliding = 1m

To find↷

• equation for the ropes height (y) at distance (x) from the building in standard from

Answer ↷

• 4x+y=4

Solution↷

Let the equation be

$\rightarrow y = mx + c$

• y = height of the buliding
• x = distance from building
• m = slope of equation

$\huge\rightarrow \: m = \frac{y' - y}{x' - x}$

• (x,y) =(1,0)
• (x'y') =(0,4)

$\huge\rightarrow \: m = \frac{4 - 0 }{0 \: - 1} = - 4$

• m = -4
• y = mx+c
• y = -4x+c
• x= 0,y = 4
• 4= -4 x 0 + c
• c= 4

hence ,our equation would be,

$\huge \rightarrow 4x + y = 4$