tan a
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GEOMETRYHELP
tan A2021
= = =oppositeadjacent
BCAC
tan B2120
= = =oppositeadjacent
ACBC
Write the tangent ratios for A and B.
Quick Check
The Tangent RatioLESSON 8-3
Additional Examples
GEOMETRYHELP
To measure the height of a tree, Alma walked 125 ft from the tree and measured a 32° angle from the ground to the top of the tree. Estimate the height of the tree.
The tree forms a right angle with the ground, so you can use the tangent ratio to estimate the height of the tree.
tan 32° = height125 Use the tangent ratio.
height = 125 (tan 32°) Solve for height.
The tree is about 78 ft tall.
The Tangent RatioLESSON 8-3
Additional Examples
Quick Check
125 32 Use a calculator.
GEOMETRYHELP
Find m R to the nearest degree.
tan R =4741 Find the tangent ratio.
So m R 49.
m R tan–1 Use the inverse of the tangent.4741
The Tangent RatioLESSON 8-3
Additional Examples
Quick Check
Use a calculator.4741
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