SOLUTION: Find the angle of elevation of the top of a tower of height 100 metre from a point at a distance of 100 metre from the foot of the tower of an horizontal plane

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Question 52248: Find the angle of elevation of the top of a tower of height 100 metre from a point at a distance of 100 metre from the foot of the tower of an horizontal plane
Answer by Earlsdon(6294) About Me  (Show Source):
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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%28A%29+=+100%2F100 Simplify.
Tan%28A%29+=+1 So you want the angle whose tangent is 1.
A+=+Tan%5E%28-1%29%281%29
A+=+45 degrees.