Solve for Trigonometric expression

Question

A guy wire 1832 feet long is attached to the top of a tower. When pulled taut, it touches level ground 843 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

This forms a right triangle with the hypotenuse=1842 and the horizontal leg=843

cos(θ) = adjacent/hypotenuse = 843/1842

θ = cos^-1(843/1842)

You can use a calculator to get the value of θ. Make sure your calculator is set to degrees.