A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long . How far is the bottom of the balloon from the ground to the nearest foot .
1 answer:
Answer:
The answer to your question is 43 ft
Step-by-step explanation:
Data
angle = Ф = 35°
length = 75 ft
height = ?
Process
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.
sin Ф = Height / length
-Solve for height
height = length x sin Ф
-Substitution
height = 75 x sin 35
-Simplification
height = 75 x 0.574
-Result
height = 43 ft
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