A bird flying at an altitude of 50 feet spies a worm in the ground up ahead. How far must the bird travel to the worm if the angle of depression from the bird to the worm is 56°?

33.7 ft

Step-by-step explanation:

We solve the above question using Trigonometric function of Tangent

tan θ = opposite/adjacent

θ = 56°

Opposite = 50 ft

Adjacent = x

Cross Multiply

tan 56 = 50 ft/x

Cross Mulitiply

tan 56 × x = 50ft

x = 50ft/tan 56

x = 33.725425842 ft

Approximately = 33.7 ft

The bird must travel 33.7 ft to meet the worm

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

i would need to see the dot plot : )