The height and generatrix of the cone are 4 cm and 5 cm, respectively. Calculate the angle between
| August 3, 2021 | education
The height and generatrix of the cone are 4 cm and 5 cm, respectively. Calculate the angle between the height and the generatrix.
The cosine of the angle formed by the generatrix and the height of the cone is equal to the ratio of the length of the height to the length of the generator (according to the definition of the cosine in a right-angled triangle formed by the generatrix, the height of the cone and the segment connecting their ends in the plane of the base of the cone).
cos α = 4/5 = 0.8.
Using the table of cosines, we find the value of the angle between the generatrix and the height of the cone:
α ≈ 37 °.
Answer: the angle between the generatrix and the height of the cone has a degree measure of 37 °.
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