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Angle between two diagonals of a cube. |Trigonometry | Leaving Cert Maths
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Task:
Find the cosine of the acute angle, between two diagonals of a cube.
An acute angle is an angle that measures less than 90 degrees.
Let the side of the cube is x. Then using the pythagoras theorem find the length of the face diagonal. Now using the Pythagoras theorym again, find the length of the internal diagonal of the cube. Now half of this is the side lengths of the triangle that contains the acute angle.
Now that we have all side lengths for this triangle, use the cosine rule of the triangles to find the cosine of the angle as required.
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Leaving Cert Maths | HL| Exam | 2019 B | Q4(b)
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#LeavingCertMaths |#SolveD124 #Maths | SolveD124
Find the cosine of the acute angle, between two diagonals of a cube.
An acute angle is an angle that measures less than 90 degrees.
Let the side of the cube is x. Then using the pythagoras theorem find the length of the face diagonal. Now using the Pythagoras theorym again, find the length of the internal diagonal of the cube. Now half of this is the side lengths of the triangle that contains the acute angle.
Now that we have all side lengths for this triangle, use the cosine rule of the triangles to find the cosine of the angle as required.
***************************************
Leaving Cert Maths | HL| Exam | 2019 B | Q4(b)
***************************************
#LeavingCertMaths |#SolveD124 #Maths | SolveD124
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