Question

For questions 6 – 10, find the unknown side length. number 10

Answer 1

Answer:
`\begin{gathered} s\text{ = 10}√(2)\text{ \lparen exact answer\rparen} \\ s\text{ = 14.142 \lparen decimal approx.\rparen} \end{gathered}`

Step-by-step explanation:

10) Given:

hypotenuse = 20

angle = 45°

To find:

length of s

angle = 45

opposite = side opposite the angle = s

To find the value of s, w will apply sine ratio (SOH)

`sin\text{ 45 = }(opposite)/(hypotenuse)`
`\begin{gathered} sin\text{ 45 = }(s)/(20) \\ s\text{ = 20sin45} \\ sin\text{ 45 = }(√(2))/(2) \\ \\ s\text{ = 20}*(√(2))/(2) \\ s\text{ = 10}√(2)\text{ \lparen exact answer\rparen} \end{gathered}`
`\begin{gathered} s\text{ = 20sin45} \\ s\text{ = 20\lparen0.7071\rparen} \\ s\text{ = 14.142 \lparen decimal approximation\rparen} \end{gathered}`