Question

Find the values of sin V and tan Y and drag your response into the corresponding box.

Answer 1

`\sin V = (3)/(5)`,
`\tan Y = (3)/(4)`

Explanation:

If
`\triangle RST \sim \triangle UVW \sim \triangle XYZ`, then
`\angle S \cong \angle Y \cong \angle V`. By Trigonometry, we have the following expressions:

`\sin V = (RT)/(RS)` (1)

`\tan Y = (RT)/(ST)` (2)

If we know that
`RT = 3`,
`ST = 4` and
`RS = 5`, then the results of the trigonometric relations are, respectively:

`\sin V = (3)/(5)`,
`\tan Y = (3)/(4)`