8.
Alina is flying a kite. The kite string is fully extended and measures 125 feet in length. The kite is 50 feet east of Alina. Which equation can be used to find the height of the kite? How high is the kite? Select two answers.
5
0
2
+
�
2
=
12
5
2
50
2
+b
2
=125
2
114.6 feet
5 feet
125 = 0.5(50)b
The equation that can be used to find the height of the kite is:
b^2 + h^2 = 125^2
where b is the distance of the kite from the ground (which is 50 feet) and h is the height of the kite.
To find the height of the kite, we need to solve for h in the equation above. Rearranging the terms, we have:
h^2 = 125^2 - b^2
h = sqrt(125^2 - b^2)
Substituting b = 50 feet, we get:
h = sqrt(125^2 - 50^2)
h = sqrt(14406.25)
h = 120.05 feet
Therefore, the height of the kite is approximately 120.05 feet.