The boat's travel from when it was first noticed until it stopped is 554.89 ft.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly.
From the given information we can draw a right-angle triangle.
14°52' = 14 + 0.86 = 14.86 degree
45°10' = 45 + 0.16 = 45.16 degree
In the right-angle triangle ACD
tan14.86 = 200/AC
AC = 753.772 ft
In the right-angle triangle DBC:
tan45.16 = 200/CB
CB = 198.886 ft
AB = AC - CB
AB = 753.772 ft - 198.886 ft
AB = 554.886 ≈ 554.89 ft
Thus, the boat's travel from when it was first noticed until it stopped is 554.89 ft.
Learn more about trigonometry here:
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Answer:
10
10
Step-by-step explanation:
One fifth of fifty is 10.
Answer:
Step-by-step explanation: 1 foot= 12 inches
so length 5.5 inches= 0.458 feet or 5.5/12
width 4 inches= 0.33 feet or 4/12
area 4x5.5= 1.833 feet or 22/12
<h3>Answers:</h3><h3>Area of parallelogram = 63</h3><h3>Area of triangle = 34</h3><h3>Area of trapezoid = 84</h3><h3>The trapezoid has the largest area</h3>
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Work Shown:
area of parallelogram = base*height
area of parallelogram = 9*7
area of parallelogram = 63
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area of triangle = (1/2)*base*height
area of triangle = (1/2)*10*6.8
area of triangle = 34
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area of trapezoid = height*(base1+base2)/2
area of trapezoid = 6*(13+15)/2
area of trapezoid = 6*(28)/2
area of trapezoid = 168/2
area of trapezoid = 84