a tower that is 65m high makes an obtuse angle with the ground. the vertical distance from the top of the tower to the ground is 59m. what obtuse angle does the tower make with the ground, to the nearest hundredth of a radian.
Draw the triangle
Let the angle that you want be $$x$$
The supplementary angle inside the triangle is $$\pi-x$$ radians
$$\\sin(\pi-x)=59/65\\\\ \pi-x=asin(59/65)$$
asin is short for arcsine which is the same as inverse sine
Set you calc to radians and solve :)