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Reptile [31]
2 years ago
10

To the nearest hundredth, what is the length of line segment AB?

Mathematics
1 answer:
Vesnalui [34]2 years ago
5 0

Answer:

5.83 units

Step-by-step explanation:

See attached picture.  You can use the Pythagorean Theorem.  I added some lines to show the legs of a right triangle.  AB is the hypotenuse.

3^2+5^2=(AB)^2\\\\9+25 = (AB)^2\\\\34=(AB)^2\\\\AB=\sqrt{34} \approx 5.83

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4 years ago
Square root 30 times square root 10
Anvisha [2.4K]

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Step-by-step explanation:

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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
Ann [662]

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)

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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)

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Truck B's position from the fire = 1.3 miles - 0.578 mile = 0.722 mile

Learn more about sine rule here: brainly.com/question/27174058

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Step-by-step explanation:

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