a tree struck by lightning broke at a point 12 feet above the ground.
what was the height of the tree to the nearest tenth of a foot?
explain your reasoning.

height of the tree was 52.8 feet

Step-by-step explanation:

Height of the tree will be determined by adding broken part of the tree, lying on the ground (as the hypotenuse of the triangle) and the remaining part of the stem.

Now we apply Pythagoras theorem in the right angle triangle with the sides as 12 feet and 39 feet

⇒ Hypotenuse² = Base² + Height²

⇒ Hypotenuse² = 12² + 39²

⇒ Hypotenuse² = 144 + 1521 = 1665

⇒ Hypotenuse = √1665

                         = 40.80 feet

Now height of the tree = 12 + 40.8

= 52.8 feet

Therefore, height of the tree was 52.8 feet

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.