In ΔFGH, the measure of ∠H=90°, the measure of ∠G=85°, and GH = 4.5 feet. Find the length of FG to the nearest tenth of a foot.

51.6 feet

Step-by-step explanation:

\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{4.5}{x}

cosG=

hypotenuse

adjacent

​

=

x

4.5

​

\cos 85=\frac{4.5}{x}

cos85=

x

4.5

​

x\cos 85=4.5

xcos85=4.5

Cross multiply.

\frac{x\cos 85}{\cos 85}=\frac{4.5}{\cos 85}

cos85

xcos85

​

=

cos85

4.5

​

Divide each side by cos 85.

x=\frac{4.5}{\cos 85}=51.6317\approx 51.6\text{ feet}

x=

cos85

4.5

​

=51.6317≈51.6 feet

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.

what is the information provided?

step-by-step explanation: