   Chapter 11.1, Problem 38E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# For Exercises 35 to 38, make drawings as needed.In a right circular cone, the slant height is 13cm. Where θ is the angle formed by the radius and slant height, θ = 48 ° . Find the length of the altitude of the cone, correct to the tenths.

To determine

To find:

The altitude 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 θ=48°

Consider the cross section of the right circular cone.

From, the given diagram,

Hypotenuse, AB = 13 cm

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

We have to find the altitude of the cone i

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