Mai is visiting Paris to see the Eiffel Tower. She is 80 feet away

when she spots it. To see the top, she has to look up at an angle of 85.7 degrees. How

height of the tower is 1064 feet

Step-by-step explanation:

We want to determine the height of the tower.

Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.

To determine h, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Therefore,

Tan 85.7 = h/80

h = 80tan 85.7

h = 1064 feet

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.