Question

Question #c4ae2

Answer 1

`cosF ~~0.581`. See explanation.

Explanation:

First let's draw the triangle:

Since `tanD=5/7` we can assume that `d=5` and `f=7`.

Now we can calculate the hypotenuse `g` using Pythagorean theorem:

`5^2+7^2=g^2`

`g^2=25+49`

`g^2=74`

`g=sqrt(74)`

Now we can calculate that:

`cosF=d/g=5/sqrt(74)~~0.581`