Chapter 11.1, Problem 30E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 27 to 34, use the drawings, where provided, to solve each problem. Angle measures should be given to the nearest degree; distances should be given to the nearest tenth of a unit.*

Over a 2000-ft span of highway through a hillside, there is a 100-ft rise in the roadway. What is the measure of the angle formed by the road and the horizontal?

To determine

**To find:**

The angle formed by the road and the horizontal.

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

3) The side *PR* is called the **opposite** side of angle

Hence, the sine ratio for an acute angle is

**Given:**

From, the given diagram,

Opposite side = 100 ft and hypotenuse = 2000 ft

Let *Î±* be the angle formed by the road and the horizontal

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