Question

kattie and matt are both flying kites on a breezy day. the string of katies kite is extended 864 feet, and her kite makes a 38 angle of elevation with the ground. the string of matt's kite is extended 725 feet, and his kite makes a 40 angle of elevation with the ground. Whose kite is flying higher in the sky

Answer 1

• Kattie's kite is flying higher

Explanation:

Let the height of each kite be h.

The h is opposite to angle of elevation and the sting length is hypotenuse of the formed triangle.

Kattie's kite:

• h/864 = sin 38°
• h = 864 sin 38°
• h = 532 ft (rounded)

Matt's kite:

• h/725 = sin 40°
• h = 725 sin 40°
• h = 466 ft (rounded)

Kattie's kite is flying higher as 532 ft > 466 ft