Answer:
h = 20 ft
theta =53.13010235
Step-by-step explanation:
First we can find the height by the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs
15^2 + h^2 = 25^2
225 + h^2 = 625
h^2 = 625 - 225
h^2 = 400
Taking the square root of each side
h = 20 ft
Now using trig functions
cos theta = adj side / hyp
cos theta = 15/25
Taking the inverse cos of each side
cos^-1 ( cos theta) = cos^-1 ( 15/25)
theta =53.13010235
