Question

Find tan 0, where is the angle shown give an exact value not a decimal approximation plz help due soon !

Answer 1

tanθ =
`(15)/(8)`

Explanation:

let the unknown side be x , then

Using Pythagoras' identity in the right triangle

x² + 5² = 17²

x² + 25 = 289 ( subtract 25 from both sides )

x² = 225 ( take the square root of both sides )

x =
`√(225)` = 15

Then

tanθ =
`(opposite)/(adjacent)` =
`(15)/(8)`