From a point 80 feet in front of a library, the angles of elevation to the base of a flagpole, and to the top of the flag are 22° and 43.5°, respectively. find the height of the flagpole to the nearest foot.

In this exercise we have to use the knowledge of trigonometry to calculate the closest point of the library, in this way we find that this value corresponds to:

Thus, we will first use the definition of tangent, which is given by:

So looking at the figure informed, we can see that this formula can be rewritten as:

Now using the new condition and writing in function of the other angle we find that:

See more about trigonometry at link

check the picture below.

make sure your calculator is in Degree mode.

a

step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~