Question

Find m A)67
B)43
C)23
D)65

Answer 1

∠F ≈ 67°

Explanation:

Using the tangent ratio in the right triangle then

tanF =
`(opposite)/(adjacent)` =
`(GH)/(FG)` =
`(12)/(5)`, thus

F =
`tan^(-1)`(
`(12)/(5)`) ≈ 67°

Note ∠F can be found using the sine or cosine ratios as well