A child lies on the ground and looks up at the top of a 9-ft tree nearby. The child is 13 ft away from the tree. What is the angle of elevation from the child to the top of the tree? Round to the nearest whole degree.
Let the angle be x, then we have:
tan(x)=9/13=.69230, now we find the arctangent,
atan=34.70 degree. Angle of elevation.
We can use the tangent inverse [arctangent] to find the angle
atan(9/13) = about 34.7° = 35°