We need to solve for the height of the tree and we need to define the variable that would represent this value. In this case, we assign "y" for the unknown height of the tree. See attached picture for better comprehension.
Solving for the variable "a" which is base of downhill to the tree, we have it:
cos 20° = a / 15 ft
a = 15*cos 20°
a = 14.095 feet
Solving for the variable "x" which is the side of the hill to the base of the tree, we have it:
sin 20° = x / 15 ft
x = 15 * sin20°
x = 5.130 feet
Solving for the variable "y", which is the height of the tree, we have it:
tan 45° = (x+y) / a
tan 45° = (5.13 + y) / 14.095
y = 14.095*tan45° - 5.13
y = 8.965 feet
The height of the tree is
8.965 feet.
<h3>Answer:</h3>
6 in
<h3>Explanation:</h3>
CG is 2/3 the length of median CM, where M is the midpoint of AB. M is the center of the circumscribing circle, which has radius 9 in, so CM is 9 in, and CG is 6 in.
we know that
In a right triangle we have
two legs and one hypotenuse
Let
a,b -----> the legs of the right triangle
c-----> the hypotenuse of the right triangle (the greater side)
Applying the Pythagoras Theorem

therefore
<u>the answer is</u>
The length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared
-40
Explanation:
(-7+2) would equal -5, then you multiply -5 by 8 and you get -40.