Question

This diagram shows AFGH.

What is the approximate value of x?
7.7 in.
8.4 in.
11.9 in.
13.05 in.
F
10 in.
G
X
40°
H

Answer 1

x ≈ 11.9 in

Explanation:

using the tangent ratio in the right triangle

tan40° =
`(opposite)/(adjacent)` =
`(FG)/(GH)` =
`(10)/(x)` ( multiply both sides by x )

x × tan40° = 10 ( divide both sides by tan40° )

x =
`(10)/(tan40)` ≈ 11.9 in ( to the nearest tenth )