Answer:
The angle between the ladder and the wall is of approximately 32 degrees 
, which agrees with the answer marked as "B" in the list of options.
Step-by-step explanation:
Notice that the wall and the floor make a right angle, and the ladder lining against the wall makes the hypotenuse of a right angle triangle.
See the attached image for explanation, and for the angle 
that we are trying to find, which is formed between the ladder and the wall.
Notice as well that the 8 ft section of the wall, is an "adjacent" side of the angle , and that the 5 ft segment between the wall and the base of the ladder is the "opposite" side to the angle.
We can then use the "tangent" of the angle which is defined as the quotient between the opposite side divided the adjacent side to investigate the measure of the angle . We will use the "arctangent" to solve for the angle:
which can be rounded to 
I got 141.12 cm^2 by doing A= (a+b /2)x height
Answer:
No congruency statement can be made because the side lengths are unknown.
Step-by-step explanation:
We are given the measure of two angles in ∆XYZ, as 90 and 30 respectively. The 3rd angle can be known without being given. Since sum of angles in a triangle is 180°, the 3rd angle would be 180 - (90+30) = 60°.
Same applies to ∆TUV.
We only know the 3 angles of each triangle, but we are not given any of the side lengths. Therefore, we cannot make any congruency statement since the side lengths are unknown.
Answer:
Note:
Three-tenths reapeating is 
