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Nadya
2 months ago
5

On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from

the same corner post on the nearest adjacent side of the field. What is the distance from Sang to Jazmin?
A.119 yards
B.101 yards
C.10,201 yards
D.1,980 yards
Mathematics
1 answer:
Leona [12.6K]2 months ago
3 0
To illustrate, Sang is positioned 20 yards from one corner, while Jazmin stands 99 yards from the same corner. Assuming this forms a rectangle (I prefer visual aids for explanations), the layout can be seen as:

99ft
A ------------------------- B
| |
20 ft | |
| |
C -------------------------- D

The task involves calculating the diagonal distance between points C and B, which divides the rectangle into two triangles. Consequently, in triangle ABC, side CB represents the longest side, or the hypotenuse. Thus, the Pythagorean Theorem can be applied to solve this.

A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2

Now solve for C by taking the square root of 10,201.

sqr (10,201) = C
C = 101 yards

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