6.) You are standing 50 meters from a hot air balloon that is
1 answer:
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Answer: 10
Step-by-step explanation:
a 30° - 60° - 90° triangle has a side ratio of 1:√3: 2, meaning the side length across from the 30° is 1, the side length across from 60° is √3, and the side length across from 90° is 2
if you multiple the 1 * 5 = 5 (the 5 side length in the diagram), then also multiple (5 * √3 = 5√3) and (2 * 5 = 10)
since you're looking for the hypotenuse (the length across the 90°), the answer would be 10 (2 * 5 = 10)
*this method can work for any 30° - 60° - 90° triangle
you can also use trig:
sin (30°) = (now just solve for x)
x * sin (30°) = 5
x =
x = ( because sin (30°) = 1/2 )
x = 5 * = 10
*either method works!