Question

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

Answer 1

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)

Answer 2

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

$tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k$

Solve for j:

$8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j$