A kite flying in the air has a
12
-
ft
line attached to it. Its line is pulled taut and casts a
10
-
ft
shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
It looks like you have a right-angled triangle with hypotenuse of 12 and a base of 10
h^2 + 10^2 = 12^2
h^2 + 100 = 144
h^2 = 44
h = √44 = appr 6.6
7.9
8.9 is the correct aswer
4.8
To find the height of the kite, we can use the concept of similar triangles. The kite, its shadow, and the ground form two similar right triangles.
Let's denote the height of the kite as 'h' and its shadow as 's'. We are given that the length of the line is 12 ft, which represents the hypotenuse of the larger triangle. The smaller triangle is the one formed by the kite's shadow and its height.
Using the given information, we have:
Length of the line (hypotenuse) = 12 ft
Length of the kite's shadow (adjacent side) = 10 ft
Now, we can set up a proportion between the two triangles:
(h / s) = (12 / 10)
Cross-multiplying, we get:
10h = 12s
To find the height 'h', we need to know the length of the shadow 's'. Since the length of the shadow is given as 10 ft, we can substitute this value into the equation and solve for 'h'.
10h = 12 * 10
10h = 120
h = 120 / 10
h = 12 ft
Therefore, the height of the kite is 12 ft.
A kite flying in the air has a 10-ft
line attached to it. Its line is pulled taut and casts a
7-ftshadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.