Lesson 2 High Tide Solidify Understanding
Recall that the right triangle definition of the tangent ratio is:
1.
Solve for
2.
Solve for
3.
Solve for
4.
Solve for
Many real-life situations such as sound waves, weather patterns, and electrical currents can be modeled by sine and cosine functions. The table shows the depth of water (in feet) at the end of a wharf as it varies with the tides at various times during the morning.
midnight | noon | ||||||
5.
Sketch the line that shows the average depth.
6.
Find the amplitude.
7.
Find the period.
8.
High tide occurred
9.
Now that you have your values for
10.
Use your model to calculate the depth at 9 a.m. and 3 p.m.
a.
b.
11.
A boat needs at least
Use the given solutions of a quadratic function and the