Question

Find the value of x. Round your answer to the nearest tenth.

A.) 52.6
B.) 52.9
C.) 6.2
D.) 6.5

Answer 1

Option A: 12.5

Explanation:

We use trigonometric ratios on this right angled triangle.

`$ cos \hspace{1mm} \theta = (adj)/(hyp) $`

we get:

`$ cos \hspace{1mm} 28^(\circ) = (11)/(x) $`

Also cos 28° = 0.88

Therefore, x =
`$ (11)/(0.88) $`

`$ = (100)/(8) =\textbf{12.5} $`

OPTION A is the answer.