Shianne is looking up at the flag on the top of the sailboat she is sailing on. She is sitting 16 feet from the bottom

of the flag, and her line of sight is 58° from horizontal. Her eyes are 6 feet above the bottom of the sail boat.

To the nearest foot, how high up is the flag from the bottom of the sailboat?

height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)

Step-by-step explanation:

She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.

A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,

the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.

adjacent side = 16 ft

opposite angle = ?

using tangential ratio

tan 58° = opposite/adjacent

tan 58° = h/16

cross multiply

h = 16 * 1.60033452904

h = 25.6053524647

height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647

height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)