Answer:
c)11√2
Step-by-step explanation:
Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;
hypotenuse^2 = 11^2 + 11^2
hypotenuse ^2 = 242
hypotenuse =
hypotenuse =
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
Learn more about sine rule here: brainly.com/question/27174058
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