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Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
ISBN: 9781305071759

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BuyFindarrow_forward

Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
ISBN: 9781305071759
Textbook Problem

The Leaning Tower of Pisa The bell lower of the cathedral in Pisa, Italy, leans 5.6° from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 29.2°. Find the length of the tower to the nearest meter.

To determine

To find: The length of the tower.

Explanation

Given:

The angle measure at which the tower leans is 5.6 , distance of tourist from the base of the tower is 105m and the angle of elevation is 29.2° .

Calculation:

The below figure shows triangle ABC .

Figure (1)

From figure (1) find the angle measure of ABC .

The angle measure of ABC is

ABC=DBCDBA=90°5.6°(DBC=90°,DBA=5.6°)=84.4°

The angle measure of ABC is 84.4° .

Use Angle Sum Property in triangle ABC to find the value of angle BAC .

ABC+BCA+BAC=180°BAC=180°(ABC+BCA)(ABC=84

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