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To find the distance between the two buildings (labeled in red), we will use the Law of Cosines, as we have two sides (your distance to each building) and the included angle (angle of view).
The Law of Cosines states that:
c^2 = a^2 + b^2 - 2ab cos(C)
Where c is the unknown distance (red line), a is 22m, b is 17m, and C is the angle of view (65°).
Plugging in the values:
c^2 = (22)^2 + (17)^2 - 2(22)(17) cos(65°)
c^2 = 484 + 289 - 748 cos(65°)
c^2 = 773 - 748(0.42262)
c^2 = 773 - 316.06
c^2 = 456.94
Taking the square root of both sides:
c = √456.94
c ≈ 21.37m
Therefore, the distance between the two buildings is approximately 21.37 meters.