230,435 views
11 votes
11 votes
Girl runs across Across a rectangle field diagonal covering a distance of 120m if the length of the field is 100m calculate the width of the field to the nearest metre

User Phani Rithvij
by
2.8k points

2 Answers

26 votes
26 votes

Answer:

66m

Explanation:

User Justincely
by
3.1k points
16 votes
16 votes

Answer:

66 m

Explanation:

ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.

plug values in

100^2 + w^2 = 120^2

square known values

10,000 = w^2 = 14,400

subtract 10,000 from both sides

w^2 = 4400

take the square root

w = 66 (rounded to the nearest whole number)

User Yalewzj
by
3.3k points