Question

Find x. Round your answer to the nearest integer. 15 X 53° O A. 6 O B. 9 O c. 12 O D. 8

Answer 1

Given:

The right triangle with one angle 53 degree and hypotenuse is 15 units.

Using the sin ratio,

`\begin{gathered} \sin \theta=\frac{Opposite\text{ side}}{\text{hypotenuse}} \\ \sin 53^(\circ)=(x)/(15) \\ 0.7986=(x)/(15) \\ x=11.97\approx12 \end{gathered}`

Answer: option C) 12.