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

false

step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.