Question

Find the values of v and w to the nearest tenth.2115VV=W =65°10wo

Answer 1

Step-by-step explanation

We are asked to find the value of v and w

To do so, we will make use of trigonometric identities

Let us get the value of v first

`\begin{gathered} sin65^0=(opposite)/(hypotenuse)=(v)/(15) \\ \\ sin65=(v)/(15) \end{gathered}`

cross multiply to get v

`\begin{gathered} v=15* sin65 \\ v=13.6 \end{gathered}`

The value of v is 13.6

Next, we will get w

`\begin{gathered} sin\text{ w=}(opposite)/(hypotenuse)=(v)/(21)=(13.6)/(21) \\ \\ sin\text{ w=}(13.6)/(21) \\ \\ sin\text{ w=0.6476} \\ \\ w=\sin^(-1)(0.6476) \\ \\ w=40.4^0 \end{gathered}`

The value of w is 40.4 degrees