   Chapter 11.1, Problem 37E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

For Exercises 35 to 38, make drawings as needed.In a right circular cone, the slant height is 13cm and the height is 10cm. To the nearest degree, find the measure of the angle θ that is formed by the radius and slant height.

To determine

To find:

The angle formed by the radius and the slant height of the cone

Explanation

In a right angle triangle,

1) The side PQ, which is opposite to the right angle PRQ is called the hypotenuse.

(The hypotenuse is the longest side of the right triangle.)

2) The side RQ is called the adjacent side of angle θ.

3) The side PR is called the opposite side of angle θ.

Hence, the sine ratio for an acute angle is oppositehypotenuse

Given:

In a right circular cone, the slant height = 13 cm and the height = 10cm

Consider the cross section of the right circular cone.

From, the given diagram,

Opposite side, AD = 10cm

Hypotenuse, AB = 13cm

Let θ be the angle formed by the radius and the slant height

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