Question 52248
You can find the angle of elevation of this situation by recognising that the 100-metre height and the 100-metre distance from the foot of the tower form the two legs of a right triangle. Using the tangent trigonometric function as follows:
The tangent of the angle of elevation (A) is equal to the ratio of the opposite side over the adjacent side, or:
{{{Tan(A) = 100/100}}} Simplify.
{{{Tan(A) = 1}}} So you want the angle whose tangent is 1.
{{{A = Tan^(-1)(1)}}}
{{{A = 45}}} degrees.