Question

In ΔGHI, the measure of ∠I=90°, IH = 28, GI = 45, and HG = 53. What ratio represents the tangent of ∠G?

Answer 1

The tangent of ∠G is represented by the ratio 53/45 .

In the given triangle ΔGHI, where ∠I = 90°, IH = 28, GI = 45, and HG = 53, you can use the tangent function to find the ratio for ∠G.

The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side.

In this case, for ∠G, the side opposite is HG, and the side adjacent is GI.

The tangent of ∠G is given by:

tan(G)= HG/GI

​Substitute the given values:

tan(G)= 53/45

​So, the tangent of ∠G is represented by the ratio 53/45 .