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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 42 Page 521

Use the Distance Formula.

2sqrt(17)≈ 8.2

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are (0,0) and (8,2).

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

SubstitutePoints

Substitute ( 0,0) & ( 8,2)

d=sqrt(( 8- 0)^2+( 2- 0)^2)

Subtract terms

d=sqrt(8^2+2^2)

Calculate power

d=sqrt(64+4)

Add terms

d=sqrt(68)

SplitIntoFactors

Split into factors

d=sqrt(4* 17)

sqrt(a* b)=sqrt(a)*sqrt(b)

d=sqrt(4)*sqrt(17)

Calculate root

d=2sqrt(17)

Use a calculator

d=8.24621...

Round to 1 decimal place(s)

d≈ 8.2

The distance between the given points is 2sqrt(17), which is approximately 8.2.

Subchapter links

Lesson Check p.518

Standardized Test Prep p.521

Mixed Review p.521