Question

1.Find the height to the nearest foot of a tree that makes a 50-foot shadow when a 2 ft. 6 in. pole is used to make a shadow of 3 feet.

Answer 1

The 2.5 ft tree makes a 3ft shadow. That means the shadow is 1.2 times the height.

So, 1.2 * 50 = 60, and the tree's shadow is 60 ft.

Or, algebraically,

s/50 = 3/2.5
2.5s = 150
s=60

Answer 2

please show your work

3 - x > 7. Subtract 3 from both sides: -x > 4. Multiply both sides by -1: x 7 + x, then subtract 7 from both sides: -4 > x, which means the same as x < -4