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Please help me I really need help ​

Please help me I really need help ​-example-1
User Vaab
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1 Answer

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Answer:

  • NS ≈ 79.3 m
  • ∠PNS ≈ 30.3°

Explanation:

The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.

PN² = 33² +60² = 4689

PN = √4689 ≈ 68.476 . . . meters

Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.

NS² = PN² +PS² = 4689 +1600 = 6289

NS = √6289

NS ≈ 79.3 . . . meters

__

We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:

tan(PNS) = NS/PN = 40/68.476

∠PNS = arctan(40/68.476)

∠PNS ≈ 30.3°

User Niksvp
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