body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

4. Angles of Elevation and Depression

Continue to next subchapter

Exercise 44 Page 521

Use the Distance Formula.

2sqrt(37)≈ 12.2

Practice makes perfect

To determine the distance between two points, we use the Distance Formula. The coordinates of the given points are (- 2,12) and (0,0).

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

SubstitutePoints

Substitute ( - 2,12) & ( 0,0)

d=sqrt(( 0-( - 2))^2+( 0- 12)^2)

▼

Simplify right-hand side

a-(- b)=a+b

d=sqrt((0+2)^2+(0-12)^2)

Add and subtract terms

d=sqrt(2^2+(- 12)^2)

Calculate power

d=sqrt(4+144)

Add terms

d=sqrt(148)

SplitIntoFactors

Split into factors

d=sqrt(4* 37)

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

d=sqrt(4)* sqrt(37)

Calculate root

d=2sqrt(37)

Use a calculator

d=12.16552...

Round to 1 decimal place(s)

d≈ 12.2

The distance between the given points is 2sqrt(37), which is approximately 12.2.

Subchapter links

Lesson Check p.518

Standardized Test Prep p.521

Mixed Review p.521