You are on the beach in Wasaga Beach, Ontario. At 2:00 PM on June 15th, the tide is high. At that time you find that the depth at the end of the pier is 1.5 meters. At 8:00 pm the same day, the tide is low, and you find that the depth of the water is 1.1 meters. Assuming the depth of the water varies sinusoidally with time a) Identify the key features of the sinusoidal function, and use them to sketch a graph showing two tide cycles. b) Determine an equation to represent the tide in Wasaga Beach. c) Determine the height of the water at 11:00 PM the same day. d) Determine the first two times after high tide where the height of the water is 1.2 metres
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
You are on the beach in Wasaga Beach, Ontario. At 2:00 PM on June 15th, the tide is high. At that time you find that the depth at the end of the pier is 1.5 meters. At 8:00 pm the same day, the tide is low, and you find that the depth of the water is 1.1 meters. Assuming the depth of the water varies sinusoidally with time
a) Identify the key features of the sinusoidal function, and use them to sketch a graph showing two tide cycles.
b) Determine an equation to represent the tide in Wasaga Beach.
c) Determine the height of the water at 11:00 PM the same day.
d) Determine the first two times after high tide where the height of the water is 1.2 metres
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