Trigonometry QUESTION THAT'S HARD TO SOLVE! Please HELP!

Question

An 18-foot ribbon is attached to the top of a pole and is located on the ground 10 feet away from the base of the pole. Suppose Mateo has a second ribbon that will be located an additional 23 feet away past that point.

a) Sketch the situation. Label the the angle that Mateo’s ribbon forms with the ground as θ and use variables for any sides needed to find the length of Mateo’s ribbon.

b) Showing all work, find the measure of the angle formed by Mateo’s ribbon and the ground. Round the angle to the nearest tenth of a degree.

c) Showing all work, use sine to find the length of Mateo’s ribbon. Round to the nearest hundredths of a foot.

Answer 1

B y Pythagoras the pole is 4√14 feet.

tan θ = 4√14 / 33

tan θ ≈ 0.4535

θ ≈ 24.4º