Imagine two line segments where each represents a slant height of the cone. The segments are on opposite sides of the cone and m

Question

Alexeev081 [22]

3 years ago

15

Imagine two line segments where each represents a slant height of the cone. The segments are on opposite sides of the cone and m

eet at the apex. Find the measurement of the angle formed between the line segments.

Mathematics

2 answers:

sladkih [1.3K] · Answer 1 · 2022-01-20T00:04:52+03:00

Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.

Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...

Working backwards to find angle bca, we use the inverse tangent function:

arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.

Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.

noname [10] · Answer 2 · 2022-01-19T22:17:45+03:00

Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.

Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...

Working backwards to find angle bca, we use the inverse tangent function:

arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.

Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.