SOLUTION: While taking a selfie at the top of the leaning tower of Pisa, Phoebe drops her phone. It falls to the ground and lands 3m from the base of the tower. If at that time, the tower wa
Algebra.Com
Question 1169105: While taking a selfie at the top of the leaning tower of Pisa, Phoebe drops her phone. It falls to the ground and lands 3m from the base of the tower. If at that time, the tower was leaning at an angle of 87.1o to the ground. How far did the phone fall?
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
Draw out a right triangle with one leg horizontal and the other vertical. The lower acute angle is 87.1 degrees. The side opposite that angle is x, which is the height we're after (the distance the phone falls)
The horizontal component of this triangle is 3 meters. This is the horizontal distance from the base of the tower to the location where phone was dropped. This side is adjacent to the reference angle 87.1
To tie together the known adjacent side and unknown opposite side, we use the tangent rule
tan(angle) = opposite/adjacent
tan(87.1) = x/3
3*tan(87.1) = x
x = 3*tan(87.1)
x = 59.220872853199
x = 59.2
Make sure your calculator is in degree mode
I rounded to one decimal place since 87.1 is to one decimal place.
Answer: Roughly 59.2 meters
RELATED QUESTIONS
Draw diagrams wherever necessary. Round off your final answers up to 2 decimal places.
(answered by ikleyn)
what is the area of the leaning tower of Pisa?
(answered by Alan3354)
In 2000, 70 tonnes of soil were removed from under the Leaning Tower of Pisa, and the... (answered by ankor@dixie-net.com)
The distance between the base of the Leaning Tower of Pisa and the top of the tower is... (answered by oscargut)
The leaning tower of Pisa was originally perpendicular to the ground and 179 feet tall.... (answered by ankor@dixie-net.com)
The leaning tower of Pisa is 180 ft and about 16 ft off the ground.How high off the... (answered by stanbon)
can you name all the geometry related to the leaning tower of... (answered by CharlesG2)
If the leaning tower of pisa is 55m tall and the top edge of the tower leans 5 meters out (answered by josmiceli)
Closed to tourists since 1990, the Leaning Tower of Pisa in Italy leans at an angle of... (answered by tutor_paul)