College Geometry

Question

Draw acute △ABC with m∠A=30∘. Draw altitude CD⎯⎯⎯⎯⎯⎯ from C to AB⎯⎯⎯⎯⎯. If CD=5, find AC.

a) 53‾‾√

b) 53‾‾√3

c) 103‾‾√3

d) 52‾‾√

e) 10

f) None of the above

Answer 1

Draw a figure...at least roughly to scale.

You Should immediately see that 5/x = 1/2 where x is the length of AC.