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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 11.CR, Problem 22CR
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Elementary Geometry for College St...

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

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Elementary Geometry for College St...

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

A rocket is shot into the air at angle of 60 ° If it is traveling at 200 ft per second, how high in the air is it after 5 seconds? (Ignoring gravity, assume that the path of the rocket is a straight line.)

Chapter 11.CR, Problem 22CR, In exercises 21 to 30. Use the drawings. Where provided, to solve each problem. Angle measures

To determine

To find:

The height of the rocket in air after 5 seconds of its shot at an angle of 60° and it is travelling at 200 ft per second.

Explanation

Procedure used:

In any right triangle ABC with m∠A=θ we have the following ratios.

sin⁡θ=OppositeHypotenuse

cos⁡θ=AdjacentHypotenuse

tan⁡θ=OppositeAdjacent

Calculation:

Given:

Speed of the rocket =200 ft per second.

Angle of projection (elevation) =60°

The height of the rocket in air after 5 seconds =x.

Let us structure the given figure as follows as a right triangle.

First let us find the distance travelled by the rocket in 5 second.

Distance travelled = Speed × Time

Distance travelled by the rocket

=200×5

=1000 ft

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