Question

4. If mH = 68°, what is GI? Round your answer to the nearest tenth.

(1 point)
G
2 cm
H

Answer 1

GI ≈ 5.0 cm

Explanation:

using the tangent ratio in the right triangle

tan H =
`(opposite)/(adjacent)` =
`(GI)/(GH)` =
`(GI)/(2)` , that is

tan68° =
`(GI)/(2)` ( multiply both sides by 2 )

2 × tan68° = GI , then

GI ≈ 4.950 ≈ 5.0 cm ( to the nearest tenth )