Question

Still not a clue what to do

Answer 1

The flag is 31.6 feet from the bottom of the sailboat.

Explanation:

Step 1:

In the given triangle, the angle is 58°. Assume the opposite side has a length of x feet and the adjacent side has a length of 16 feet.

To determine the length of the opposite side of the triangle, we use the tan of the given angle.

`tan \theta = (oppositeside)/(adjacent side) .`

Step 2:

In the given triangle,

The length of the opposite side = x feet,

The length of the adjacent side = 16 feet,

The angle of the triangle = 58°.

`tan \theta = (oppositeside)/(adjacent side) , tan 58 = (x)/(16), tan 58 = 1.6000.`

`1.6 = (x)/(16) , x = (1.6)(16) = 25.6.`

Since Shianne's eyes are 6 feet from the bottom of the sailboat, the distance between the flag and the bottom of the sailboat
`= 25.6 + 6 = 31.6.`

So the flag is 31.6 feet from the bottom of the sailboat.