Chapter 11.1, Problem 34E

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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.*

An airplane flying at the rate of 350 feet per second begins to climb at an angle of 10^{â—¦}. What is the increase in altitude over the next 15 seconds?

To determine

**To find:**

The increase in altitude over next 15secs.

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,

Angle of elevation is 10^{â—¦}

Flying rate = 350 ft/s

Time travel = 15secs

Let *a* be the increase in altitude over next 15secs which is the opposite side.

Hypotenuse=

Hypotenuse = 5250 ft

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