Question

Hello i really need help i am supposed to be finding the missing side

Answer 1

We have a right triangle, and we have one angle, the measure of the hypotenuse, we have that the side, x, is adjacent to the angle that measures 21°:

Since we have a right triangle (one of its internal angles equals 90 degrees), we can use the trigonometric ratios. Since we have that the adjacent side to 21 is x and the value for the hypotenuse is 10, then we can use the cosine ratio as follows:

`cos(\theta)=\frac{\text{ Adjacent side}}{\text{ Hypotenuse}}`

Therefore, we have:

`cos(21^(\circ))=(x)/(10)`

Now, we need to multiply both sides of the equation by 10 as follows:

`\begin{gathered} 10*cos(21^(\circ))=10((x)/(10))=x \\ \\ x=10*cos(21^(\circ)) \\ \\ x=9.33580426497 \end{gathered}`

Therefore, in summary, if we round our result to the nearest tenth, we have that the value for x = 9.3.