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.
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.