Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

208 meters

Step-by-step explanation:

Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?

tan θ = Opposite/Adjacent

θ = Angle of depression

Adjacent = Horizontal distance = 130 meters

Opposite = Vertical distance = x

θ = 58°

tan 58 = x/130 meters

Cross Multiply

x = tan 58 × 130 meters

x = 208.04348878 meters

Approximately = 208 meters

Therefore, the vertical distance it travelled is 208 meters

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.

i hope this is what you were looking for.

see attached graph