Answer:
The height of the kite is approximately 278.6 feet
Step-by-step explanation:
The length of Jason's Kite string, l = 325 feet
The angle of elevation of the kite string, θ = 58°
The height of Jason's hand, h = 3 feet above the ground
Therefore, we have;
The height of the kite = The vertical component of the length of the kite string + The height of Jason's hand above the ground
The height of the kite = l × sin(θ) + h
Substituting the values, we get
The height of the kite = 325 × sin(58°) + 3 ≈ 278.6 (which is obtained by rounding the answer to the nearest tenth)
The height of the kite ≈ 278.6 feet.