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.

Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

6. Solving Right Triangles

Continue to next subchapter

Exercise 2 Page 502

The tangent of an acute angle in a right triangle is the ratio of its opposite leg to its adjacent leg.

∠ F

Practice makes perfect

We want to determine which of the two acute angles in the given diagram has a tangent of 512.

The tangent of an acute angle in a right triangle is the ratio of its opposite leg to its adjacent leg. Let's calculate tan F and tan E.

tan =opposite/adjacent
tan F=DE/FD	tan E=FD/DE
tan F=5/12	tan E=12/5

We can conclude that the acute angle that has a tangent of 512 is ∠ F.

Subchapter links

Communicate Your Answer p.501

Monitoring Progress p.502-504