In right triangle pqr, if sinp=5/13, then tanp=

5/12
12/13
12/5

A

Step-by-step explanation:

Given sinP = =

Then the right triangle has a hypotenuse of 13 and a leg 5

Use Pythagoras' identity to find the other leg x ( adjacent)

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

x = = 12 , hence

tanP = =

i hope this is what you were looking for.

see attached graph