The Tower of Pisa is an Italian construction with an angle inclination of 85.976° from the ground.Calculate the height of the Tower if a person standing 3.93 m away from the base of the Tower can see its top directly above their head. Group of answer choices55.86 m54.86 m56.00 m
Question
The Tower of Pisa is an Italian construction with an angle inclination of 85.976° from the ground.Calculate the height of the Tower if a person standing 3.93 m away from the base of the Tower can see its top directly above their head. Group of answer choices55.86 m54.86 m56.00 m
Solution
To solve this problem, we can use the tangent of the angle of inclination, which is the ratio of the opposite side (the height of the tower) to the adjacent side (the distance from the person to the tower).
The formula is: tan(θ) = opposite/adjacent
We know that the angle of inclination (θ) is 85.976° and the distance from the person to the tower (adjacent) is 3.93 m. We want to find the height of the tower (opposite).
Rearranging the formula to solve for the opposite side gives us: opposite = tan(θ) * adjacent
Substituting the given values into the formula gives us: opposite = tan(85.976°) * 3.93 m
Using a calculator to find the tangent of 85.976° and multiplying by 3.93 m gives us a height of approximately 55.86 m.
So, the height of the Tower of Pisa is approximately 55.86 m.
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