Pam is placing a bird feeder in a tree in her back yard. She first needs to put up a 10-inch wooden platform in the fork of two tree branches that make a 52° angle, as shown below. What equation can Pam use to determine xthe distance up the tree trunk from the fork at she should drill attach the platform?

Step-by-step explanation:

Given

See attachment for illustration

Required

Equation to find x

The relationship between angle and side lengths x and 10 inches is by tangent formula which is given by:

So, we have:

Make x the subject

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1