Question

11. A large pine tree was struck by lightning and fell as
shown by the diagram below. Which equation
could be used to find the length of the fallen part of
the tree?
8 ft
13 ft —
A. 82 +132 - X
B. N82+132 -
C. 132 - 82 = X
D. V132 - 82 - *

Answer 1

It forms a right triangle.

To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2

This can be rewritten as x = sqrt(a^2 + b^2)

Using the dimensions of the tree the answer would be :

B. x = sqrt(8^2 + 13^2)

Answer 2

The equation to find the length of the fallen part of the tree  is

$x=\sqrt{8^2+13^2}$

Right Triangle.

Right triangles is a triangle with one angle is 90 degree.

The side opposite to 90 degree is the hypotenuse.

Pythagorean Theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The length of the fallen part of the tree is the hypotenuse

Hypotenuse is 'x'

Base of the triangle is 13 feet and height is 8 ft

Apply Pythagorean theorem to find out the hypotenuse 'x'

$hypotenuse^2= base^2 + height ^2\\x^2=\sqrt{13^2+8^2} \\x=\sqrt{13^2+8^2}$

the equation to find the length of the fallen part is

$x=\sqrt{8^2+13^2}$

Learn more information about 'Pythagorean theorem ' here

brainly.com/question/22605943