Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find gi. write your answer as an integer or as a decimal rounded to the…

Question

find gi.
write your answer as an integer or as a decimal rounded to the nearest tenth.
gi =
submit
work it out

Explanation:

Step1: Identify cosine relationship

In right $\triangle GIH$, $\cos(I)=\frac{\text{Adjacent}}{\text{Hypotenuse}}=\frac{GI}{IH}$

Step2: Substitute known values

$\cos(56^\circ)=\frac{GI}{6}$

Step3: Solve for GI

$GI = 6\times\cos(56^\circ)$
Calculate $\cos(56^\circ)\approx0.5592$, so $GI\approx6\times0.5592$

Answer:

3.4