Question 1169105
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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
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