a straight road to the top of the hill is 2700 feet long and makes an angle of 12 degrees with the horizontal (angle of elevation) find the height of the hill

519.78ft

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

base angle = 12 degrees

hypotenuse = 2500

height = 2500*sin(12) = 519.78 ft

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.