The length of the pole with the given shadown is 26.6 feet long.
Length of the pole
The height of the pole is determined from trignometry property of right triangle.
The shadow of the pole, vertical height formed by the pole and the length of the pole, will form a right triangle.
- Let the base of the right triangle = 24 ft
- Let the base angle = 53⁰
- base angle of similar triangle = (90 - 53) + 9 = 46⁰
The length of the pole is calculated as follows;
L/sin53 = 24/sin46
L = (24 x sin53) / (sin 46)
L = 26.6 ft
Thus, the length of the pole with the given shadown is 26.6 feet long.
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