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Answer:
Answer shown below.Step-by-step explanation:
Given that :
A church steeple casts a shadow 114 ft long, and at the same time a 8.0-ft post casts a shadow of 5.0 ft long.
A) Let the height of the steeple be h.
The equation for the situation is :
h/8 = 114/5
B) On solving the equation,
h = 182.4 ft
C) Using trigonometrical formula,
tan θ = 58°
D) Using Pythagorean theorem,
Hypotenuse² = Base² + Perpendicular²
So,
H² = (114)² + (182.4)²
Thus, H = 215.1 ft