Question 834960: you have a object 11 inches wide, the height on right side is 7 inches tall,
the height on left side is 12 and 1/2 inches tall, what degree is the angle
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! assuming the object has right angles at the base, then you will be forming a right triangle as follows:
the height of the right triangle on the left will be 12.5 - 7 which will be equal to 5.5.
the base of the right triangle will be equal to 11.
you have a 90 degree angle in the bottom left of the right triangle.
the tangent of the bottom right angle will be 5.5 / 11 = .5
this makes the bottom right angle equal to arctangent (.5) which makes the angle equal to 26.56505118 degrees.
this makes the top left angle equal to 90 - 26.56505118 degrees which makes the top left angle equal to 63.43494882.
if you wanted to calculate the top left angle, you would be taking the arctangent of the length of the side opposite the angle divided by the length of the side adjacent to the angle.
this becomes arctangent (11/5.5)which is equal to arctangent (2) which makes the angle equal to 63.43494882.
so you have 2 acute angles and one right angle.
rounded to the nearest hundredth of a degree, they are:
bottom right angle is equal to 26.57 degrees.
top left angle is equal to 63.43 degrees.
bottom left angle is equal to 90 degrees.
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