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Stels [109]
3 years ago
8

How long is the width of a rectangle if it has a diagonal of 20, and a length of 12?

Mathematics
1 answer:
hoa [83]3 years ago
3 0
D=Vl^2+w^2

20=V 12^2+W^2

400= 144+w^2
w^2=400-144
w^2=256
w=V256
w=16 
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Answer:

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Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

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Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

hyp^{2} = adj^{2}  + opp ^{2}  \\opp = \sqrt{hyp^{2} - adj^{2}  } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}

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Note the error; cscθ\neq 1/cosθ but cscθ = 1/sinθ

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