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

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1