Answer:
WV = 169.591 feet
Step-by-step explanation:
As VWX has ∠X equal to 90°, so that it is the right triangle.
In the right triangle, there is a formula as following:
sin <em>acute angel = opposite side/ hypotenuse side</em>
So that, in triangle VWX:
+) <em>sin ∠W = XV / WV </em>
as ∠W =20° and XV is equal to 58 feet, replace it into the formula above, we have:
sin ∠W = sin 20° = 58/ WV
=> WV = 58/ (sin 20°)
sin 20° ≈ 0.342
=> WV ≈ 58/ 0.342 = 169.591 feet
Split it up into segments--
Red: 1/2(4×1) + 1/2 + 1 + 1/2 + 1/2 + 1×4 = 2+2+4.5 = 8.5 sq. units
Purple: 1/2(2×1) + 1/2 +1 + 1×4 + 1/2(2×4) + 1/2(1×4) = 1+1+4+4+2 = 12 sq. units
Answer:
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Step-by-step explanation:
Answer:
The height of the water = 6.2 in. to the nearest tenth
Step-by-step explanation:
∵ The rate of flows of water into the tank = 8000 in.³/min.
∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³
∵ The water take the shape of the tank
∴ The height of the water = volume of water ÷ Area of the base of the tank
∵ The tank is cylinder with diameter 128 in. and height 72 in.
∴ The area of the base of the tank = π(128/2)²
∴ The height of the water = 
∴ The height of the water = 6.2 in. to the nearest tenth
1.5 inches should be right