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Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)

Find The Value Of Each Variable Round Your Answers To The Nearest Tenth Soh Coh Toa class=

Sagot :

SDCInfinity

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]

Solve for j:

[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]

mathmate

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)

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