   Chapter 11.CR, Problem 29CR 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

In Review Exercises 21 to 30, use the drawings, where provided, to solve each problem, Angle measures should be found to the nearest degree; lengths should be found to the nearest tenth of a unit.The term used for measuring the steepness of a hill is the grade. A grade of a and b means the hill rises a vertical units for every b horizontal units. If, at some point, the hill is 3 ft above the horizontal and the angle of elevation to that point is 23 ° , what is the grade of this hill? To determine

To find:

The grade of the hill. At some point, the hill is 3ft above the horizontal and the angle of elevation to that point is 23°.

Explanation

Procedure used:

In any right triangle ABC with mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

Calculation:

Given:

Height of the hill above the horizontal = 3 ft.

Angle of elevation of the hill =23°

First let us find the value of ‘b’.

In ABC

AB=3ft=Opposite

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