Question

Find the tangents of the acute angle in the right triangle. write each answer as a fraction​

Answer 1

`tanD=(7)/(24)`

`tanF=(24)/(7)`

Explanation:

We are given that

ED=24units

EF=7units

FD=25 units

We have to find the tangents of the acute angle in the right triangle

We know that

tangent=
`(Perpendicular\;side)/(Base)`

Using the formula

`tanD=(EF)/(ED)`

`tanD=(7)/(24)`

`tanF=(ED)/(EF)`

`tanF=(24)/(7)`