Question

The water level in a port is described by the function y = 3.7 cosine (startfraction pi x over 6 endfraction) 5, where y represents the water level measured in meters, and x represents the number of hours since high tide. after approximately how many hours would you expect the water to reach a depth of 7 meters? round to the nearest tenth of an hour. hours

Answer 1

After 1.91 hours one can expect the water to reach a depth of 7 meters.

Given function is:

$y=3.7cos\frac{\pi x}{6} +5$

Where, y represents the water level measured in meters, and x represents the number of hours since high tide.

What is a function?

A function is a rule that relates two variables.

A depth of 7m means:

$7=3.7cos\frac{\pi x}{6} +5$

$2=3.7cos\frac{\pi x}{6}$

$cos\frac{\pi x}{6}=\frac{2}{3.7}$

$\frac{\pi x}{6} =cos^{-1} \frac{2}{3.7}$

$\frac{\pi x}{6}= 57.28 deg$

$\frac{\pi x}{6}= 57.28 *\frac{\pi }{180}$

x=1.91 hour

Therefore, after 1.91 hours one can expect the water to reach a depth of 7 meters.

To get more about functions visit:

https://brainly.com/question/17043948

Answer 2

Answer:

1.9

Step-by-step explanation: