Question

Use trigonometry to solve for the indicated side. Show all work

in CANVAS. Round to one decimal point (the nearest tenth).
What is the length of segment DE?
E
6
50°
D
F

Answer 1

DE ≈ 7.2

Explanation:

Using the tangent ratio in the right triangle

tan50° =
`(opposite)/(adjacent)` =
`(DE)/(EF)` =
`(DE)/(6)` ( multiply both sides by 6 )

6 × tan50° = DE , then

DE ≈ 7.2 ( to the nearest tenth )

Answer 2

x=7.2

Explanation:

Tan=O/A

=x/6

Tan50=x/6

×6 on both sides

6× Tan50=7.2