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SSSSS [86.1K]
3 years ago
8

A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin

e the distance and the angle shown below. What is the distance from the fireman to the fire? Show your work.

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}

d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}

Finally:

d=3.82 miles

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