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 diag

Question

3 years ago

10

onal 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.

2 answers:

Lilit [14] · Answer 1 · 2022-04-10T07:27:55+03:00

Lilit [14]3 years ago

6 0

Answer:

cos 36.87° = x ÷ 50

Step-by-step explanation:

Usimov [2.4K] · Answer 2 · 2022-04-10T09:12:52+03:00

Answer:

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)° = $\frac{AB}{AC}$

0.60 = $\frac{x}{50}$

x = 50×0.6

x = 30 inches

Therefore, height of the painting is 30 inches.