Question

Question 24 of 30Find x. Round your answer to the nearest integer.1553°O A. 8O B. 12O C. 9

Answer 1

We are dealing with a right triangle; therefore, we can use the trigonometric identity shown below

`\begin{gathered} sin\theta=(O)/(H) \\ \theta\rightarrow\text{ inner angle of the triangle} \\ O\rightarrow\text{ opposite angle to }\theta \\ H\rightarrow\text{ hypotenuse} \end{gathered}`

Thus, in our case,

`\begin{gathered} \Rightarrow sin(53\degree)=(x)/(15) \\ \Rightarrow x=15sin(53\degree) \\ \Rightarrow x=11.98 \\ \Rightarrow x\approx12 \end{gathered}`

Therefore, the answer is 12, option B.