Sammy squirrel is steering his boat at a heading of 310 degrees at 5mph. The current is flowing at 2mph at a heading of 110 degrees. Find Sammy's course.

Sammy's course is 3.19 mph at a heading of 322.36°

Step-by-step explanation:

To solve this problem we need to calculate a sum of vectors.

We can calculate this sum decomposing both vectors in their horizontal and vertical component, and then we sum the components:

First vector: module 5, direction 310°

Second vector: module 2, direction 110°

Resultant vector:

Now, to go back to the polar form, we can use the following procedure:

So Sammy's course is 3.19 mph at a heading of 322.36°

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!