Space diagonal angles

Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm, and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD.

Correct answer:

C =  35.9807 °
A =  54.0193 °

Step-by-step explanation:

a=28 cm b=45 cm c=73 cm  u1​=a2+b2​=282+452​=53 cm  tan C = u1​ : c  C=π180°​⋅arctan(u1​/c)=π180°​⋅arctan(53/73)=35.9807∘=35°58′50"
A+C = 90°  A=90−C=90−35.9807=54.0193∘=54°1′10"

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
See also our right triangle calculator.
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

You need to know the following knowledge to solve this word math problem:

algebrasolid geometryplanimetricsgoniometry and trigonometryGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: