Question

5 pythagorean theorem bob tied the end of his kite to a stake in the ground 11ft away from a 14ft tall street light. the top of the kite touches the top of the street light. if the body of the kite is 4ft, how long is the kite string? a. 19.1ft b. 17.8ft c. 13.8ft d. 21.8ft

Explanation:

Step1: Find vertical distance

The vertical distance between the kite and the ground is the height of the street light minus the kite's height: $14 - 4 = 10$ ft

Step2: Identify horizontal distance

The horizontal distance between the stake and the street light is given as 11 ft.

Step3: Apply Pythagorean theorem

The kite string is the hypotenuse of a right triangle. Use $c = \sqrt{a^2 + b^2}$, where $a=10$, $b=11$.

$$ c = \sqrt{10^2 + 11^2} = \sqrt{100 + 121} = \sqrt{221} \approx 14.87 $$

Round to one decimal place: $\approx 14.9$ ft

Answer:

A. 14.9ft