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
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:
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)° =
0.60 =
x = 50×0.6
x = 30 inches
Therefore, height of the painting is 30 inches.
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Answer:
c
Step-by-step explanation:
Here's how this works:
Get everything together into one fraction by finding the LCD and doing the math. The LCD is sin(x) cos(x). Multiplying that in to each term looks like this:
In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:
Put everything over the common denominator now:
Since , we will make that substitution:
We could separate that fraction into 2:
×
and
Therefore, the simplification is
sec(x)csc(x)