Question

Find the value of the cosine for ZA.

A
8 ft
B
С 5 ft
5489
C.
889
a.
89
89
d.
oo la
b.
4.89
89

Answer 1

C.
`(8√(89))/(89)`

Explanation:

Cos A = Adj/Hyp

Reference angle = <A

Adjacent side = 8 ft

Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)

Thus:

`Cos (A) = (8)/(√(89))`

Rationalize

`Cos (A) = (8 * √(89))/(√(89) * √(89))`

`Cos (A) = (8√(89))/(89)`