In ΔGHI, the measure of ∠I=90°, IG = 48 feet, and HI = 22 feet. Find the measure of ∠G to the nearest tenth of a degree.
2 answers:
Answer:
50.7°
Step-by-step explanation:
We need to use the only two known sides of the triangle to find the measure of angle G.
Looking from angle G, what is it's relationship to side IG?
It is an adjacent side.
Looking from angle G, what is it's relationship to side HI
It is an opposite side.
We know that the tangent ratio uses the opposite and adjacent sides.
tan = opp/adj
Let's substitute the values we know into this equation:
tan = opp/adj
tan ∠G = HI/IG
tan ∠G = 22/18
Now, use your calculator to find the value of angle G.
*Remember to be in degrees and use inverse tan*
tan ∠G = 22/18
tan ∠G ≈ 50.7
Therefore, the measure of angle G is about 50.7 degrees.
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