Question

A bored teenager who is also good at physics is standing at the top of a hill that is sloping downward by an angle ϕ=0.189 radians.ϕ=0.189 radians. She wants to throw a rock at an angle θ above the horizontal (see the image below) that will maximize the distance the rock travels. What angle θ (in radians) should she go with?

Hint: You may find the trigonometric identity

tan(2θ)=2tan(θ)1−tan2(θ)tan(2θ)=​1−tan​2​​(θ)​​2tan(θ)​​

useful.

hill

Answer 1

The solution is attached in the image.

Final answer is boxed.