Question

Sheila is flying a kite with 250 feet of her string let out. The angle the kite line makes with a line parallel to the ground is 45°. Sheila is 5 ft tall to her eye level. The picture is not to scale. What is the altitude of the kite? Round the answer to the nearest whole number.

Answer 1

The altitude of the kite:
h = 5 + 250 · sin 45°
h = 5 + 250 · √2 / 2
h = 5 + 250 · 0.7071 = 5 + 176.77 = 181.77 ≈ 182 ft
Answer: The altitude is 183 ft.