Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.

The kite’s height is the vertical component of the 50-foot string, so use height = 50 × sin(angle). At 45°, the height is about 50 × 0.7071 = 35.4 feet; at 25°, it is about 50 × 0.4226 = 21.1 feet. The difference is 35.4 − 21.1 = 14.3 feet, or about 14.2 feet using unrounded values, so the correct choice is 14.2 feet.

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