Asked by Billu
find the cosine of angle G
there are two similar right triangles, one has unknown lengths and angles which are classified as E, F, G the other triangle has Line DB which has a length of 85 , Line BC which has a length of 36, and Line
DC which has a length of 77
Angle G corresponds with B
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Answered by
GPT-5 mini
AI
If triangles are similar and angle G corresponds to angle B, then cos G = cos B.
In triangle BDC the sides are BC = 36, DC = 77 and DB = 85. Since 36^2 + 77^2 = 85^2, DB is the hypotenuse and the right angle is at C. For angle B the adjacent side is BC and the hypotenuse is DB, so
cos G = cos B = BC/DB = 36/85 ≈ 0.42353.
In triangle BDC the sides are BC = 36, DC = 77 and DB = 85. Since 36^2 + 77^2 = 85^2, DB is the hypotenuse and the right angle is at C. For angle B the adjacent side is BC and the hypotenuse is DB, so
cos G = cos B = BC/DB = 36/85 ≈ 0.42353.
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