Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle of elevation of the tree from one position on a flat path from the tree is upper h equals 30 degrees commah=30°, and from a second position upper l equals 50 feetl=50 feet farther along this path it is upper b equals 20 degrees .b=20°. what is the height of the tree?

Please find the attached diagram for a better understanding of the solution provided here.

In the attached diagram, OP is the height of the tree.

Rest of the diagram should be sufficiently self explanatory.

In ,

.........................Equation #1

Again, in ,

.........................Equation #2

Thus, equating the equations Equation #1 and Equation #2, we have:

Evaluating we get:

Thus the height of the tree is approximately 49.26 feet

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart

b. b < 1 might be the correct answer