A parasail rider wants to reach the maximum height allowed by the Federal Aviation Administration if the rider's boat is to tow
1 answer:
From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.
<h3>How else can the maximum height of the parasailer be identified?</h3>In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.
If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.
SOH - Sine is Opposite over Hypotenuse
CAH - Cosine is Adjacent Over Hypotenus; while
TOA - Tangent is Opposite over Adjacent.
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Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid =
=
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
