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Orlov [11]
3 years ago
7

What is the length of side s of the square shown below?

Mathematics
2 answers:
Lerok [7]3 years ago
6 0

Answer:

this is sine rule in trigonometry therefore:

  • <u>sin90</u><u> </u>= <u>sin45</u><u> </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>8. S

  • S sin90 = 8*sin45
  • S=<u>8</u><u>*</u><u>sin45 </u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u> sin45

  • S=<u>5.656854249</u>

1

  • S=5

Step-by-step explanation:

therefore S is 5

avanturin [10]3 years ago
6 0

Answer: S = 5.6569

Step-by-step explanation:

Given; let A=45° a = s B=90 ° b=8

using the sine rule;

sinA / a = sin B / b

sin45° / s = sin90° / 8

cross multiply

s × sin 90° = 8 × sin 45°

s × sin 90° = 8 × 0. 7071

s × 1 = 5. 6569

s = 5. 6569

Therefore; the length of the square is 5. 6569

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