Find the exact value of each part labeled with a variable in

Find the exact value of each part labeled with a variable in the following figure. d = ______ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) c = ______ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) n = ______ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) m = ______ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Solution

13)

cos30^o=d_/27

=>((3)_/2)=d_/27

=>d=((273)_/2)

sin30^o=c_/27

=>(1_/2)=c_/27

=>c=(27_/2)

sin60^o=c_/n

=>((3)_/2)=(27_/2)_/n

=>n=(27_/3)

=>n=93

tan60^o=c_/m

=>3=(27_/2)_/m

=>m=(27_/(23))

=>m=((93)_/2)