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Question #c4ae2

1 Answer

Nov 1, 2016

#cosF ~~0.581#. See explanation.

Explanation:

First let's draw the triangle:

enter image source here

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#

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