Kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. If the rectangular frame's diagonal is 50 inches and forms a 36.87° angle with the bottom of the frame, what is its height? Round your answer to the nearest inch. 28 inches
30 inches
38 inches
40 inches

Height of the painting is 30 inches.

Step-by-step explanation:

If the rectangular frame of a painting is in the shape of ABCD.

Measure of frame's diagonal AC is 50 inches and it forms an angle of 36.87° angle with the bottom of the frame BC.

Now we have to determine the height of the painting.

Sin(36.87)° = AB/AC

0.60 = x/50

x = 50×0.6

x = 30 inches

Therefore, height of the painting is 30 inches.

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.