Question

Find the value of x, rounded to the nearest tenth. Answers : a.)12.5 b.)9.7 c.) 10.0 d.) 13.0

Answer 1

Remember "SOH CAH TOA"

Sine = (Opposite/Hypotenuse)

Cosine = (Adjacent/Hypotenuse)

Tangent = (Opposite/Adjacent)

In this case, we will be using cosine, and our equation will be
`(cos(28))/(1) =(11)/(x)`

So firstly, cross-multiply.
`cos(28)*x=11`

Next, divide both sides by cos(28), and your answer will be
`x=12.5`

Answer 2

a.)12.5

Explanation:

You have a triangle with a 90º angle, you can apply the laws of the triangles on the triangle, and the chosen would be cosine.

Cosine=
`(side-adjacent)/(Hypotenuse)`

Cosine 28º=
`(11)/(x)`

x=
`(11)/(cosine 28)`

x=
`(11)/(.8829)`=12.45

x=12.5