A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?

210 feet  To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:

42feet/9.4 feet= 4.468

That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468=  210 feet.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.