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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:
Cyrus needs to order 3 full pizzas to feed his 11 friends .
Step-by-step explanation:
The number of friends invited = 11
Share of pizza for each friend = 1/4 pizza
Now, as 1 friend eats 1/4 of a pizza.
⇒ 11 friends eat =
So, 11 friends can eat 2 .75 pizza.
Since pizza come as a whole number.
And 2. 75 is nearly equal to 3.00
Hence, Cyrus needs to order 3 full pizzas to feed his 11 friends .