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mixer [17]
3 years ago
9

the map of a park shows that a pond is 4 inches away from a playground. the scale of the map is 1 inch represents 5.25 meters. h

ow far apart are the actual pond and playground?
Mathematics
2 answers:
serg [7]3 years ago
8 0
One inche is 5.25 right?
So 4 inches would be 4multiplied by 5.55.
And the answer is 21 meters
Whitepunk [10]3 years ago
6 0
They are 21 meters apart
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The first thing we are going to do is to fill in the other angles that we need to solve this problem. You could find ALL of them but all of them isn't necessary. So looking at the obtuse angle next to the 35 degree angle...we know that those are supplementary so 180 - 35 = the obtuse angle in the small triangle. 180 - 35 = 145. Within the smaller triangle we have now the 145 and the 10, and since, by the Triangle Angle-Sum Theorem all the angles have to add up to equal 180, then 180 - (10 + 145) = the 3rd angle, so the third angle is 180 - 155 = 25. Now let's get to the problem. If I were you, I'd draw that out like I did to keep track of these angles cuz I'm going to name them by their degree. In order to find d, we need to first find the distance between d and the right angle. We'll call that x. The reference angle is 35, the side opposite that angle is 12 and the side we are looking for, x, is adjacent to that angle. So we will use the tan ratio to find x:

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