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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 37 to 43, angle measures should be given to the nearest degree; distance should be given to the nearest tenth of a unit.

When her airplane is descending to land, the pilot notes an angle of depression of 5 . If the altimeter shows an altitude reading of 120 ft, what is the distance x from the plane to touchdown?

Chapter 11.3, Problem 37E, In Exercises 37 to 43, angle measures should be given to the nearest degree; distance should be

To determine

To calculate:

The distance x from the plane to touchdown.

Explanation

Given:

When an airplane is descending to land, the pilot notes an angle of depression of 5. The altimeter shows an altitude reading of 120 ft.

Definition used:

The trigonometric ratio

sinα=oppositehypotenuse

Calculation:

Consider the angle of depression as α.

Thus α=5.

From the figure, we see that sinα=120x.

sin5=120x

x=120sin5

Let us use Ti-83 calculator to find the value of x

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Sect-11.1 P-11ESect-11.1 P-12ESect-11.1 P-13ESect-11.1 P-14ESect-11.1 P-15ESect-11.1 P-16ESect-11.1 P-17ESect-11.1 P-18ESect-11.1 P-19ESect-11.1 P-20ESect-11.1 P-21ESect-11.1 P-22ESect-11.1 P-23ESect-11.1 P-24ESect-11.1 P-25ESect-11.1 P-26ESect-11.1 P-27ESect-11.1 P-28ESect-11.1 P-29ESect-11.1 P-30ESect-11.1 P-31ESect-11.1 P-32ESect-11.1 P-33ESect-11.1 P-34ESect-11.1 P-35ESect-11.1 P-36ESect-11.1 P-37ESect-11.1 P-38ESect-11.1 P-39ESect-11.2 P-1ESect-11.2 P-2ESect-11.2 P-3ESect-11.2 P-4ESect-11.2 P-5ESect-11.2 P-6ESect-11.2 P-7ESect-11.2 P-8ESect-11.2 P-9ESect-11.2 P-10ESect-11.2 P-11ESect-11.2 P-12ESect-11.2 P-13ESect-11.2 P-14ESect-11.2 P-15ESect-11.2 P-16ESect-11.2 P-17ESect-11.2 P-18ESect-11.2 P-19ESect-11.2 P-20ESect-11.2 P-21ESect-11.2 P-22ESect-11.2 P-23ESect-11.2 P-24ESect-11.2 P-25ESect-11.2 P-26ESect-11.2 P-27ESect-11.2 P-28ESect-11.2 P-29ESect-11.2 P-30ESect-11.2 P-31ESect-11.2 P-32ESect-11.2 P-33ESect-11.2 P-34ESect-11.2 P-35ESect-11.2 P-36ESect-11.2 P-37ESect-11.2 P-38ESect-11.2 P-39ESect-11.2 P-40ESect-11.2 P-41ESect-11.2 P-42ESect-11.2 P-43ESect-11.2 P-44ESect-11.2 P-45ESect-11.3 P-1ESect-11.3 P-2ESect-11.3 P-3ESect-11.3 P-4ESect-11.3 P-5ESect-11.3 P-6ESect-11.3 P-7ESect-11.3 P-8ESect-11.3 P-9ESect-11.3 P-10ESect-11.3 P-11ESect-11.3 P-12ESect-11.3 P-13ESect-11.3 P-14ESect-11.3 P-15ESect-11.3 P-16ESect-11.3 P-17ESect-11.3 P-18ESect-11.3 P-19ESect-11.3 P-20ESect-11.3 P-21ESect-11.3 P-22ESect-11.3 P-23ESect-11.3 P-24ESect-11.3 P-25ESect-11.3 P-26ESect-11.3 P-27ESect-11.3 P-28ESect-11.3 P-29ESect-11.3 P-30ESect-11.3 P-31ESect-11.3 P-32ESect-11.3 P-33ESect-11.3 P-34ESect-11.3 P-35ESect-11.3 P-36ESect-11.3 P-37ESect-11.3 P-38ESect-11.3 P-39ESect-11.3 P-40ESect-11.3 P-41ESect-11.3 P-42ESect-11.3 P-43ESect-11.3 P-44ESect-11.3 P-45ESect-11.3 P-46ESect-11.3 P-47ESect-11.4 P-1ESect-11.4 P-2ESect-11.4 P-3ESect-11.4 P-4ESect-11.4 P-5ESect-11.4 P-6ESect-11.4 P-7ESect-11.4 P-8ESect-11.4 P-9ESect-11.4 P-10ESect-11.4 P-11ESect-11.4 P-12ESect-11.4 P-13ESect-11.4 P-14ESect-11.4 P-15ESect-11.4 P-16ESect-11.4 P-17ESect-11.4 P-18ESect-11.4 P-19ESect-11.4 P-20ESect-11.4 P-21ESect-11.4 P-22ESect-11.4 P-23ESect-11.4 P-24ESect-11.4 P-25ESect-11.4 P-26ESect-11.4 P-27ESect-11.4 P-28ESect-11.4 P-29ESect-11.4 P-30ESect-11.4 P-31ESect-11.4 P-32ESect-11.4 P-33ESect-11.4 P-34ESect-11.4 P-35ESect-11.4 P-36ESect-11.4 P-37ESect-11.4 P-38ESect-11.4 P-39ESect-11.4 P-40ESect-11.4 P-41ESect-11.4 P-42ESect-11.4 P-43ESect-11.4 P-44ESect-11.CR P-1CRSect-11.CR P-2CRSect-11.CR P-3CRSect-11.CR P-4CRSect-11.CR P-5CRSect-11.CR P-6CRSect-11.CR P-7CRSect-11.CR P-8CRSect-11.CR P-9CRSect-11.CR P-10CRSect-11.CR P-11CRSect-11.CR P-12CRSect-11.CR P-13CRSect-11.CR P-14CRSect-11.CR P-15CRSect-11.CR P-16CRSect-11.CR P-17CRSect-11.CR P-18CRSect-11.CR P-19CRSect-11.CR P-20CRSect-11.CR P-21CRSect-11.CR P-22CRSect-11.CR P-23CRSect-11.CR P-24CRSect-11.CR P-25CRSect-11.CR P-26CRSect-11.CR P-27CRSect-11.CR P-28CRSect-11.CR P-29CRSect-11.CR P-30CRSect-11.CR P-31CRSect-11.CR P-32CRSect-11.CR P-33CRSect-11.CR P-34CRSect-11.CT P-1CTSect-11.CT P-2CTSect-11.CT P-3CTSect-11.CT P-4CTSect-11.CT P-5CTSect-11.CT P-6CTSect-11.CT P-7CTSect-11.CT P-8CTSect-11.CT P-9CTSect-11.CT P-10CTSect-11.CT P-11CTSect-11.CT P-12CTSect-11.CT P-13CTSect-11.CT P-14CTSect-11.CT P-15CTSect-11.CT P-16CTSect-11.CT P-17CTSect-11.CT P-18CTSect-11.CT P-19CTSect-11.CT P-20CT

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