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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

4. Angles of Elevation and Depression

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Exercise 43 Page 521

Use the Distance Formula.

sqrt(229)≈ 15.1

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are (- 15,- 2) and (0,0).

d = sqrt((x_2-x_1)^2 + (y_2-y_1)^2)

SubstitutePoints

Substitute ( - 15,- 2) & ( 0,0)

d=sqrt(( 0-( - 15))^2+( 0-( - 2))^2)

a-(- b)=a+b

d=sqrt(15^2+2^2)

Calculate power

d=sqrt(225+4)

Add terms

d=sqrt(229)

Use a calculator

d=15.13274...

Round to 1 decimal place(s)

d≈ 15.1

The distance between the given points is sqrt(229), which is approximately 15.1.

Subchapter links

Lesson Check p.518

Standardized Test Prep p.521

Mixed Review p.521