math help trigonometry

Question

A guy wire 1902 feet long is attached to the top of a tower. When pulled taut, it touches level ground 612 feet from the base of the tower. What angle does the wire make with the ground? Express your answer using degree measure rounded to one decimal place.

Answer 1

cos x = 612/1902

x = inverse_cosine(612/1902) = 71.23

As a check,

pythagorean in reverse says the tower is sqrt( 1902^2 - 612^2) = 1800.85

Then sin(71.23) = 1800.85/1902, is verified via calculator

The angle is 71.2 correct to 1 digit