Word problem with trigonometry

Question

Emily is standing 150 feet from a circular target with a radius of 3 inches. To hit a bull’s eye, she must hold the gun perfectly level. Will she hit the target if her aim is off by two-tenths of a degree in any direction?

Answer 1

Draw and label a diagram!

Draw the level fire line. At Emily mark one angle θ.

150 ft = 1800 in

tan θ = 1.5 / 1800

tan θ = 0.000833

Can you solve for θ and answer?