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Answer:
150ft
Step-by-step explanation:
First we visualize the problem, by drawing the given
Let x be the horizontal distance
Using SOH CAH TOA
(In this problem we use tangent since the opposite is given and we are looking for the height which is the adjacent)
tan(45°) = 150/x
1 = 150/x
x = 150ft
Thus, the horizontal distance is 150ft
(Notice that the triangle formed by the 45° inclination is an isoceles right triangle, which also explains how the opposite and adjacent are both 150ft)