Question

PLEASE HELP!!!

What are the values of the trigonometric ratios for this triangle?
Drag the answer into the box to match each ratio.

Answer 1

sin = o/h = 5/13
cos = a/h = 12/13
tan = o/a = 5/12

o - opposite
a- adjacent
h - hypotenuse

Answer 2

Explanation:

The right angled triangle is given whose altitude is equal to 5, hypotenuse is equal to 13 and base is equal to 12.

Now, the trigonometric ratios are given as:

`sin{\theta}=(Perpendicular)/(Hypotenuse)`

Substituting the given values. we get

`sin{\theta}=(5)/(13)`

And,
`cos{\theta}=(Base)/(Hypotenuse)`

Substituting the given values. we get

`cos{\theta}=(12)/(13)`

And,
`tan{\theta}=(Perpendicular)/(Base)`

Substituting the given values. we get

`tan{\theta}=(5)/(12)`

which are the required trigonometric ratios.