Question

You are flying your dragon kite. The kite is directly above the edge of a pond. The edge of the pond is 26 yd from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round to the tenths place.

a) 30.0 yd
b) 26.0 yd
c) 15.6 yd
d) 23.1 yd

Answer 1

The height of the kite above the edge of the pond is approximately 23.1 yd, corresponding to (d). Thus the correct option is D.

Step-by-step explanation:

To determine the height of the kite above the edge of the pond, we can use the Pythagorean Theorem. Let ( h ) represent the height of the kite, and ( d ) be the distance from the kite to the edge of the pond. According to the Pythagorean Theorem,
`\( h^2 + d^2 = l^2 \),` where (l ) is the length of the kite string. In this case, ( d = 26 ) yd, and ( l ) is the hypotenuse, which is the distance from the kite to the ground when the kite is directly above the edge of the pond. Therefore, ( l ) is also equal to ( h ).

Substituting the values into the Pythagorean Theorem equation, we get
`\( h^2 + 26^2 = h^2 \).` Solving for h , we find that
`\( h \approx √(26^2) = 23.1 \) yd` . Therefore, the height of the kite above the edge of the pond is approximately 23.1 yd.

In conclusion, option (d) accurately represents the calculated height of the kite above the edge of the pond, taking into account the given distance from the kite to the edge of the pond. This approach ensures precision in determining the vertical distance of the kite from the ground.