in a right triangle, the leg opposite to the angle of 30 degrees is 7 in. find the lengths of the hypentenuse and the other leg
1 answer:
Answer: Hypotenuse = 14 inches Adjacent = 12.12 inches Step-by-step explanation: Using SOH, CAH TOA Method According to SOH Sin(theta) = Opposite/Hypotenuse Given theta = 30° Opposite = 7 inches Sin30° = 7/Hypotenuse Hypotenuse = 7/Sin30° Hypotenuse = 7/0.5 Hypotenuse = 14 inches The other leg will be the adjacent saying x using Pythagoras Theorem to get x Hypotenuse^2 = Opposite^2 + Adjacent^2 14^2 = 7^2 + x^2 x^2 = 14^2 - 7^2 x^2 = 196 - 49 x^2 = 147 x = sqrt of 147 x = 12.12 inches
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Answer:
D) is your correct answer
simplify :7x + 3x - 5 + 8x + 5 = 180
x = 10
7x=78
---- ---- = 11.14
7 7