Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles

17. z=39/sin45=

    y=39/tan60=

    x=y/sin60=

19. x==6

    y=2x=12

    z=

Step-by-step explanation:

17.

because:sin45=39/z    

so:     z=39/sin45=

then: tan60=39/y

so:    y=39/tan60=

last:  sin60=y/x

so:    x=y/sin60=

19.

because: tan60=/x

so:            x==6

then:        sin30=x/y

so:            y=x*sin30=2x=12

last:          sin45=y/z

so:            z=sin45*y=

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.