Answer:
[tex]\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0[/tex]
Step-by-step explanation:
In any right triangle, the following is true:
The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)
The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)
Thus,
[tex]\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},[/tex]
[tex]\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}[/tex]
