If Kirk stands 200 feet from the geyser and the eruption rises 175 feet in the air, what is the angle of elevation to the top of the spray to the nearest tenth

Question

Kirk visits yellowstones park and old faithful on a perfect day. His eyes are 6 feet from ground, and the geyser can reach heights ranging from 90 feet to 184 feet

Answer 1

Draw and label a diagram. Point A is where Kirk is standing. C is the bottom of the geyser. B is the top of the geyser.

AC = 200 feet, CB = 175 feet.

 

tan ∠BAC = 175 / 200

tan ∠BAC = 0.875

m ∠BAC ≈ 41.2°