A ladder is placed 3.5 feet away from the base of a tree. If the ladder forms a 53° angle with the ground, how many feet up the tree will the ladder reach? Write only the number rounded to the nearest tenth of a foot.

The ladder will reach 4.6 ft up the tree.

Step-by-step explanation:

When we draw out our triangle, we should see that we are given the horizontal leg and are trying to find the vertical leg. We use tan∅ to help solve:

tan53° = x/3.5

3.5tan53° = x

x = 4.64466

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x