Question

Find the tangents of the acute angles in the right triangle. Write each answer as a fraction 61,11,60

Answer 1

`tan(S)= (28)/(45)`

`tan(R) = (45)/(28)`

Explanation:

Given

`RS = 53`

`ST = 45`

`RT =28`

See attachment for triangle

Solving (a): The tangent of S

Using tan formula:

`tan\theta = (Opposite)/(Adjacent)`

So:

`tan(S) = (RT)/(ST)`

`tan(S)= (28)/(45)`

Solving (b): The tangent of R

Using tan formula:

`tan\theta = (Opposite)/(Adjacent)`

So:

`tan(R) = (ST)/(RT)`

`tan(R) = (45)/(28)`