Apologies if it’s dark but here’s the work for your question. If you need an explanation, let me know.
Answer:
≈ 56°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin ? = 
= 
, then
? = 
( ) ≈ 56° ( to the nearest degree )
Answer:
Today: Tuesday, 12th January 2021
16.31 PM
Answer:
509.35 feet
Step-by-step explanation:
16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.
16°23' = 16 + (23/60) = 16.383°
Similarly:
49°29' = 49 + (29/60) = 49.483°
When the boat is first noticed:
tan(16.383°) = 200 / a
a = 200 / tan(16.383°)
a = 680.27
When the boat stops:
tan(49.483°) = 200 / b
b = 200 / tan(49.483°)
b = 170.92
So the difference is:
a − b = 680.27 − 170.92 = 509.35
The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.
