The light from a lamp casts a shadow of a man standing 15 feet away from
the lamppost. The shadow is 5 feet long. The angle of elevation from the tip
of the shadow to the lamp is 50°. To the nearest foot, the lamppost is
feet tall.

Find cot x if sin x cot x csc x = √2

Frank is lending $1,000 to sarah for two years. frank and sarah agree that frank should earn a real return of 4 percent per year. instructions: a. the cpi (times 100) is 100 at the time that frank makes the loan. it is expected to be 113 in one year and 127.7 in two years. what nominal rate of interest should frank charge sarah?

Hurry im being timed the graph of f(x)=x^3-3x^2+4 is shown based on the graph how many distinct real numbers solutions does the equation x^3-3x^2+4=0 have