Hi there!
**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
- tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.
- tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.
- cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.
- tan (-π / 6) is equal to -1 / √3. This choice is correct.
Therefore, the correct choice is tan (-π / 6).
Answer:
D. 
F. 
Step-by-step explanation:
We have been given an image of a triangle and we are asked to choose the remote interior angles of angle 1.
Since we know that remote interior angles are the two angles that are inside the triangle and opposite from the exterior angle.
We can see that angle 1 is exterior angle of our triangle and and angle 4 an 6 are opposite interior angles of angle 1.
Therefore, angle 4 and angle 6 will be remote interior angles of angle 1 and options D and F are correct choices.
The area is the area of 2 pairs of congruent triangles and one rectangle. Use the formulas for the areas of these figures, then add results.
Front triangle area (A = (1/2)bh)
.. = (1/2)(16 m)*(25 m) = 200 m^2
Right side triangle
.. = (1/2)(22 m)*(24 m) = 264 m^2
Base (A = lw)
.. = (16 m)*(22 m) = 352 m^2
Total area
.. 2*front triangle +2*side triangle +base
.. = 2*200 m^2 +2*264 m^2 +352 m^2
.. = 1280 m^2
A and b are not true because
