Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5.6, Problem 10CFU

To determine

The distance between the baseball fan and pitcher’s mound.

Expert Solution & Answer

Explanation of Solution

Given information:

The angle of depression from the fan to home plate is 29°54'=29.9°

The angle of depression from the fan to pitcher’s mound is 24°12'=24.2°

Distance between home plate and pitcher’s mound is 60.5feet.

Calculation:

Here as per the given information, we draw the schematic diagram,

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.6, Problem 10CFU

Here point A shows the position of the fan.

Point B shows the position of home plate.

Point C shows the position of pitcher’s mound.

Distance between BC is 60.5feet.

Now,

∠ACB=180−29.9=150.1°∠BAC=180−(150.1+24.2)=5.7°

Now applying the sine law we get,

BCSin∠BAC=ACSin∠ABC60.5sin5.7=ACsin150.1AC=60.5sin5.7×sin150.1AC=60.50.009×0.498=3350feet.

Therefore the distance between the baseball fan and pitcher’s mound is 3350feet .

Chapter 5.6, Problem 9CFU

Chapter 5.6, Problem 11E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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