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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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BuyFindarrow_forward

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.

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.)

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 mA=θ we have the following ratios.

sinθ=OppositeHypotenuse

cosθ=AdjacentHypotenuse

tanθ=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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Chapter 11 Solutions

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