Two fire trucks on the ground on either side of a burning building or 1.3 miles apart. they each measure the angle of elevation
1 answer:
The distance of the first truck from the fire is 0.578 mile and the distance of the second truck from fire is 0.722 mile.
<h3>Distance of each truck from the fire</h3>Using sine rule, we find the length of AB and BC as shown in the image.
a/sin A = b/sin B = c/sin C
Angle C = 180 - (58 + 52) = 70⁰
1.3/(sin 70) = b/(sin 52)
b = (1.3sin 52) / (sin 70)
b = 1.09 mile
c = (1.3sin 58) / (sin 70)
c = 1.1732 miles
Bisect angle C, and use sine rule again to find the lengths of bisected line AB.
1.09/(sin 90) = x/[sin (90 - 58)]
1.09/(sin 90) = x/(sin 32)
x = (1.09 sin 32)/(sin 90)
x = 0.578 mile
Truck B's position from the fire = 1.3 miles - 0.578 mile = 0.722 mile
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Applying the area of a square, the total area of the design is: <em>116 cm²</em>
<h3>Area of Square</h3>A square has equal side lengths, s, this, the area of a square is given as: A = s².
The three pieces of square shaped cloth that Jordan made the design from is shown in the image attached below.
To find the total area of the design, find the area of each square shaped cloth and add all together.
Thus, applying the area of a square, the total area would be:
Total Area = 4² + 6² + 8²
Total Area = <em>116 cm²</em>
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